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AP Calculus Integration by Substitution

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Page 1: Integration by substitution - Updated

AP Calculus

Integration by Substitution

Page 2: Integration by substitution - Updated

∫ 𝑓 ′ (𝑔 (𝑥 ))𝑔 ′ (𝑥 )𝑑𝑥= 𝑓 (𝑔 (𝑥 ))+𝐶

Integration by SubstitutionPart I

Recognizing the Form

With polynomials and trigonometric functions

With indefinite and definite integrals

Page 3: Integration by substitution - Updated

Examples

1. Find

2. Find

3. Find

4. Find

5. Find

6. Find

7. Find

8. Find

Page 4: Integration by substitution - Updated

Video

https://www.youtube.com/watch?v=znIoezDSA_s
Page 5: Integration by substitution - Updated

Video

https://www.youtube.com/watch?v=2EXCmuwr4dA
Page 6: Integration by substitution - Updated

Video

https://www.youtube.com/watch?v=InK5NdlDWAo
Page 7: Integration by substitution - Updated

Video

https://www.youtube.com/watch?v=WwBIzFDpOQs
Page 8: Integration by substitution - Updated

Video

http://www.youtube.com/watch?v=ykppx5WSa3Q
Page 9: Integration by substitution - Updated

Video

http://www.youtube.com/watch?v=_cP9kloABsQ
Page 10: Integration by substitution - Updated

Video

https://www.youtube.com/watch?v=J42jhRvLlw0
Page 11: Integration by substitution - Updated

Video

https://www.youtube.com/watch?v=CUYmW684znQ
Page 12: Integration by substitution - Updated

Video

https://www.youtube.com/watch?v=cbg4wphqFCg

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