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Google Keyword Rankings for : who invented integration by substitution
1
https://wstein.org/edu/winter06/20b/notes/html/node15.html
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https://wstein.org/edu/winter06/20b/notes/html/node15.html
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2
https://www.medianigeria.com/who-invented-u-substitution-and-when/
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https://www.medianigeria.com/who-invented-u-substitution-and-when/
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3
https://math.stackexchange.com/questions/737928/the-formalism-behind-integration-by-substitution
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https://math.stackexchange.com/questions/737928/the-formalism-behind-integration-by-substitution
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4
https://warwick.ac.uk/fac/sci/maths/people/staff/oleg_zaboronski/geom_motion/integration_by_substitution.pdf
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https://warwick.ac.uk/fac/sci/maths/people/staff/oleg_zaboronski/geom_motion/integration_by_substitution.pdf
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5
https://www.khanacademy.org/math/ap-calculus-ab/ab-integration-new/ab-6-9/v/u-substitution
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https://www.khanacademy.org/math/ap-calculus-ab/ab-integration-new/ab-6-9/v/u-substitution
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6
https://www.reddit.com/r/math/comments/8lqnzx/hey_does_anyone_know_who_first_discoveredused/
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https://www.reddit.com/r/math/comments/8lqnzx/hey_does_anyone_know_who_first_discoveredused/
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7
http://www.math.stonybrook.edu/~tony/history-resources/HISTORY_OF_TRIGONOMETRIC_F.pdf
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http://www.math.stonybrook.edu/~tony/history-resources/HISTORY_OF_TRIGONOMETRIC_F.pdf
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8
https://www.quora.com/How-can-integration-by-substitution-be-derived-from-the-fundamental-theorem-of-calculus
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https://www.quora.com/How-can-integration-by-substitution-be-derived-from-the-fundamental-theorem-of-calculus
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9
https://www.youtube.com/watch?v=8B31SAk1nD8
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https://www.youtube.com/watch?v=8B31SAk1nD8
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10
https://math24.net/integration-substitution.html
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https://math24.net/integration-substitution.html
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11
http://cochranmath.pbworks.com/Integration-by-trigonometric-substitution
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http://cochranmath.pbworks.com/Integration-by-trigonometric-substitution
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12
https://www.cuemath.com/calculus/integration-by-parts/
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https://www.cuemath.com/calculus/integration-by-parts/
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13
https://proofwiki.org/wiki/Integration_by_Substitution
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https://proofwiki.org/wiki/Integration_by_Substitution
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14
https://openstax.org/books/calculus-volume-1/pages/5-3-the-fundamental-theorem-of-calculus
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https://openstax.org/books/calculus-volume-1/pages/5-3-the-fundamental-theorem-of-calculus
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15
https://www.edutopia.org/article/powerful-model-understanding-good-tech-integration/
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https://www.edutopia.org/article/powerful-model-understanding-good-tech-integration/
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16
https://www.powerschool.com/blog/samr-model-a-practical-guide-for-k-12-classroom-technology-integration/
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https://www.powerschool.com/blog/samr-model-a-practical-guide-for-k-12-classroom-technology-integration/
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17
https://www.cantorsparadise.com/richard-feynmans-integral-trick-e7afae85e25c
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https://www.cantorsparadise.com/richard-feynmans-integral-trick-e7afae85e25c
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18
https://mrhonner.com/archives/20967
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https://mrhonner.com/archives/20967
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19
https://quizlet.com/593589324/differential-and-integral-calculus-terms-and-elements-me-boards-exam-flash-cards/
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https://quizlet.com/593589324/differential-and-integral-calculus-terms-and-elements-me-boards-exam-flash-cards/
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20
https://encyclopediaofmath.org/wiki/Integral_calculus
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https://encyclopediaofmath.org/wiki/Integral_calculus
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21
https://www.researchgate.net/publication/309907150_The_Euler_Substitutions
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https://www.researchgate.net/publication/309907150_The_Euler_Substitutions
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22
https://www.cs.earlham.edu/~timm/InCalc/Lectures/Secn5/secn5.pdf
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https://www.cs.earlham.edu/~timm/InCalc/Lectures/Secn5/secn5.pdf
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23
https://www.jstor.org/stable/41133757
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https://www.jstor.org/stable/41133757
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24
https://www.intmath.com/blog/mathematics/what-did-newton-originally-say-about-integration-4878
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https://www.intmath.com/blog/mathematics/what-did-newton-originally-say-about-integration-4878
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25
https://emedia.rmit.edu.au/learninglab/content/in1-antidifferentiation
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https://emedia.rmit.edu.au/learninglab/content/in1-antidifferentiation
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26
https://www.studysmarter.co.uk/explanations/math/pure-maths/algebra/
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https://www.studysmarter.co.uk/explanations/math/pure-maths/algebra/
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27
https://www.physicsforums.com/threads/why-can-you-cancel-out-the-dx-in-u-substitution.594069/
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https://www.physicsforums.com/threads/why-can-you-cancel-out-the-dx-in-u-substitution.594069/
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28
https://medium.com/@yashrajvishwakarma.31/calculus-explained-pt-7-integration-by-parts-u-substitution-948be5cf5057?source=topics_v2---------3-84--------------------c5b3bd88_3e47_42d4_8ee2_4bd879bbdd30-------17
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https://medium.com/@yashrajvishwakarma.31/calculus-explained-pt-7-integration-by-parts-u-substitution-948be5cf5057?source=topics_v2---------3-84--------------------c5b3bd88_3e47_42d4_8ee2_4bd879bbdd30-------17
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29
https://xaktly.com/FTOC.html
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https://xaktly.com/FTOC.html
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30
https://web.williams.edu/Mathematics/lg5/Feynman.pdf
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https://web.williams.edu/Mathematics/lg5/Feynman.pdf
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31
https://math.libretexts.org/Courses/Mount_Royal_University/MATH_1200%3A_Calculus_for_Scientists_I/4%3A_Integral_Calculus/4.1%3A_Integration_by_Substitution
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https://math.libretexts.org/Courses/Mount_Royal_University/MATH_1200%3A_Calculus_for_Scientists_I/4%3A_Integral_Calculus/4.1%3A_Integration_by_Substitution
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32
https://www.ck12.org/book/CK-12-Calculus/section/7.3/
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https://www.ck12.org/book/CK-12-Calculus/section/7.3/
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33
https://www.tesd.net/cms/lib/PA01001259/Centricity/Domain/390/Unit%207%20in%20PDF.pdf
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https://www.tesd.net/cms/lib/PA01001259/Centricity/Domain/390/Unit%207%20in%20PDF.pdf
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34
https://fl01000126.schoolwires.net/cms/lib/FL01000126/Centricity/Domain/261/FDWK_3ed_Ch06_pp320-376.pdf
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https://fl01000126.schoolwires.net/cms/lib/FL01000126/Centricity/Domain/261/FDWK_3ed_Ch06_pp320-376.pdf
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35
http://www.intuitive-calculus.com/indefinite-integrals.html
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http://www.intuitive-calculus.com/indefinite-integrals.html
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36
https://etd.ohiolink.edu/apexprod/rws_etd/send_file/send?accession=auhonors1482504144122774&disposition=inline
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https://etd.ohiolink.edu/apexprod/rws_etd/send_file/send?accession=auhonors1482504144122774&disposition=inline
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37
https://www.sfu.ca/math-coursenotes/Math%20158%20Course%20Notes/sec_volume.html
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https://www.sfu.ca/math-coursenotes/Math%20158%20Course%20Notes/sec_volume.html
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38
https://stackify.com/solid-design-liskov-substitution-principle/
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https://stackify.com/solid-design-liskov-substitution-principle/
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39
http://ramanujan.math.trinity.edu/rdaileda/teach/s22/m2321/parts.pdf
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http://ramanujan.math.trinity.edu/rdaileda/teach/s22/m2321/parts.pdf
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40
https://softmath.com/math-com-calculator/distance-of-points/use-the-substitution-method-to.html
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https://softmath.com/math-com-calculator/distance-of-points/use-the-substitution-method-to.html
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41
https://en.wikibooks.org/wiki/Mathematics_for_Chemistry/Integration
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https://en.wikibooks.org/wiki/Mathematics_for_Chemistry/Integration
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42
https://www.whitman.edu/mathematics/calculus_online/section06.01.html
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https://www.whitman.edu/mathematics/calculus_online/section06.01.html
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43
https://www.utdallas.edu/~gupta/courses/apl/lambda.pdf
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https://www.utdallas.edu/~gupta/courses/apl/lambda.pdf
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44
https://hi-in.facebook.com/100083332239502/videos/code-140/311862141044971/
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https://hi-in.facebook.com/100083332239502/videos/code-140/311862141044971/
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45
https://math.berkeley.edu/courses/choosing/lowerdivcourses/math10A
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https://math.berkeley.edu/courses/choosing/lowerdivcourses/math10A
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46
https://www.thinkib.net/mathapplications/page/27455/calculus
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https://www.thinkib.net/mathapplications/page/27455/calculus
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47
https://ximera.osu.edu/activity/undefined/integrationByParts/digInIntegrationByParts
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https://ximera.osu.edu/activity/undefined/integrationByParts/digInIntegrationByParts
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48
https://www.mathportal.org/algebra/solving-system-of-linear-equations/substitution-method.php
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https://www.mathportal.org/algebra/solving-system-of-linear-equations/substitution-method.php
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49
https://www.britannica.com/biography/Augustin-Louis-Baron-Cauchy
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https://www.britannica.com/biography/Augustin-Louis-Baron-Cauchy
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50
https://files.eric.ed.gov/fulltext/EJ1036281.pdf
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https://files.eric.ed.gov/fulltext/EJ1036281.pdf
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51
https://www.uspto.gov/web/offices/pac/mpep/s2141.html
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https://www.uspto.gov/web/offices/pac/mpep/s2141.html
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52
https://machinelearningmastery.com/a-gentle-introduction-to-the-jacobian/
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https://machinelearningmastery.com/a-gentle-introduction-to-the-jacobian/
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53
https://www.google.com.na/patents/US20050151743
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https://www.google.com.na/patents/US20050151743
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54
https://www.storyofmathematics.com/function-notation/
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https://www.storyofmathematics.com/function-notation/
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55
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6291255/
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https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6291255/
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56
https://everything2.com/title/impossible+integral
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https://everything2.com/title/impossible+integral
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57
https://citejournal.org/volume-20/issue-1-20/general/the-picrat-model-for-technology-integration-in-teacher-preparation
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https://citejournal.org/volume-20/issue-1-20/general/the-picrat-model-for-technology-integration-in-teacher-preparation
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58
https://scholars.unh.edu/cgi/viewcontent.cgi?article=1306&context=dissertation
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https://scholars.unh.edu/cgi/viewcontent.cgi?article=1306&context=dissertation
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59
https://mathjokes4mathyfolks.wordpress.com/tag/integral/
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https://mathjokes4mathyfolks.wordpress.com/tag/integral/
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60
https://www.coursehero.com/file/8895618/U-substitution-with-indefinite-integrals-worksheet-answers/
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https://www.coursehero.com/file/8895618/U-substitution-with-indefinite-integrals-worksheet-answers/
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61
https://thelearnersway.net/ideas/2018/8/12/why-we-need-to-move-our-technology-use-beyond-substitution
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https://thelearnersway.net/ideas/2018/8/12/why-we-need-to-move-our-technology-use-beyond-substitution
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62
https://people.math.sc.edu/meade/PROJECT/DRAFTS/SMcalc2.pdf
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https://people.math.sc.edu/meade/PROJECT/DRAFTS/SMcalc2.pdf
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63
https://link.springer.com/article/10.3758/s13414-011-0229-0
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https://link.springer.com/article/10.3758/s13414-011-0229-0
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64
https://math.mit.edu/~djk/calculus_beginners/chapter00/section02.html
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https://math.mit.edu/~djk/calculus_beginners/chapter00/section02.html
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65
http://mathsfirst.massey.ac.nz/Algebra/Formulae/MathFormulas.htm
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http://mathsfirst.massey.ac.nz/Algebra/Formulae/MathFormulas.htm
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66
https://www.rose-hulman.edu/~holden/hm004syllabus.html
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https://www.rose-hulman.edu/~holden/hm004syllabus.html
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67
https://ifunny.co/tags/substitution
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https://ifunny.co/tags/substitution
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68
https://arxiv.org/pdf/1404.0070
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https://arxiv.org/pdf/1404.0070
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69
https://www.embibe.com/books/Amit-M-Agarwal-Skills-in-Mathematics-for-JEE-MAIN-%26-ADVANCED-INTEGRAL-CALCULUS/Definite-Integral/Definite-Integral-Exercise-2/kve12205257-2
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https://www.embibe.com/books/Amit-M-Agarwal-Skills-in-Mathematics-for-JEE-MAIN-%26-ADVANCED-INTEGRAL-CALCULUS/Definite-Integral/Definite-Integral-Exercise-2/kve12205257-2
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70
https://mathworld.wolfram.com/WatsonsTripleIntegrals.html
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https://mathworld.wolfram.com/WatsonsTripleIntegrals.html
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71
https://www.core-econ.org/the-economy/book/text/leibniz-02-02-01.html
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https://www.core-econ.org/the-economy/book/text/leibniz-02-02-01.html
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72
https://simkosal04.files.wordpress.com/2013/11/integral-equation-and-their-application.pdf
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https://simkosal04.files.wordpress.com/2013/11/integral-equation-and-their-application.pdf
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73
https://moviecultists.com/who-invented-indefinite-integrals
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https://moviecultists.com/who-invented-indefinite-integrals
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74
https://people.math.wisc.edu/~jwrobbin/221dir/lecs-221.pdf
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https://people.math.wisc.edu/~jwrobbin/221dir/lecs-221.pdf
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75
https://deviq.com/principles/liskov-substitution-principle/
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https://deviq.com/principles/liskov-substitution-principle/
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76
http://scihi.org/leibniz-integral-calculus/
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http://scihi.org/leibniz-integral-calculus/
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77
https://www.mathsisfun.com/calculus/integration-by-substitution.html
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https://www.mathsisfun.com/calculus/integration-by-substitution.html
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78
https://resources.saylor.org/wwwresources/archived/site/wp-content/uploads/2013/04/ME401-1.2.2-LaplaceTransform.pdf
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https://resources.saylor.org/wwwresources/archived/site/wp-content/uploads/2013/04/ME401-1.2.2-LaplaceTransform.pdf
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79
https://www.gnu.org/s/make/manual/make.html
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https://www.gnu.org/s/make/manual/make.html
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80
http://www.mrbartonmaths.com/jokes/
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http://www.mrbartonmaths.com/jokes/
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81
https://pages.uoregon.edu/koch/ComplexVariables.pdf
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https://pages.uoregon.edu/koch/ComplexVariables.pdf
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82
https://www.hhs.se/contentassets/2a91f64953ca43b4a7f4352273d94c58/substitution-of-labor-final-4.pdf
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https://www.hhs.se/contentassets/2a91f64953ca43b4a7f4352273d94c58/substitution-of-labor-final-4.pdf
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83
https://www2.math.binghamton.edu/lib/exe/fetch.php/people/mckenzie/bittinger_et_al..pdf
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https://www2.math.binghamton.edu/lib/exe/fetch.php/people/mckenzie/bittinger_et_al..pdf
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84
https://www.diva-portal.org/smash/get/diva2:303480/FULLTEXT01.pdf
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https://www.diva-portal.org/smash/get/diva2:303480/FULLTEXT01.pdf
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85
https://www.fd.cvut.cz/department/k611/pedagog/K611GM_A_soubory/GMliteratura_soubory/Stewart_Calculus_6ed.pdf
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https://www.fd.cvut.cz/department/k611/pedagog/K611GM_A_soubory/GMliteratura_soubory/Stewart_Calculus_6ed.pdf
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86
https://eng.belta.by/president/view/the-size-of-the-loan-is-not-important-facts-behind-lukashenkos-and-putins-import-substitution-154350-2022/
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https://eng.belta.by/president/view/the-size-of-the-loan-is-not-important-facts-behind-lukashenkos-and-putins-import-substitution-154350-2022/
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87
https://www.sciencedirect.com/topics/computer-science/monte-carlo-integration
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https://www.sciencedirect.com/topics/computer-science/monte-carlo-integration
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88
https://publications.jrc.ec.europa.eu/repository/bitstream/JRC103284/crm%20substitution_online%20report.pdf
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https://publications.jrc.ec.europa.eu/repository/bitstream/JRC103284/crm%20substitution_online%20report.pdf
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89
https://academic.oup.com/mbe/article/33/10/2659/2925605
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https://academic.oup.com/mbe/article/33/10/2659/2925605
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90
https://www.patentnext.com/2021/09/why-including-an-algorithm-is-important-for-software-patents-part-2/
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https://www.patentnext.com/2021/09/why-including-an-algorithm-is-important-for-software-patents-part-2/
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91
https://www.ipcc.ch/sr15/chapter/chapter-4/
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https://www.ipcc.ch/sr15/chapter/chapter-4/
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92
https://www.cbsd.org/cms/lib/PA01916442/Centricity/Domain/2713/15%20The%20Four%20Ways%20we%20can%20Train%20Teachers%20To%20Use%20Tech.pdf
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93
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94
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95
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96
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97
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