12
AP Calculus Integration by Substitution

Integration by substitution - Updated

Tags:

Embed Size (px)

DESCRIPTION

Ā 

Citation preview

Page 1: Integration by substitution - Updated

AP Calculus

Integration by Substitution

Page 2: Integration by substitution - Updated

āˆ« š‘“ ā€² (š‘” (š‘„ ))š‘” ā€² (š‘„ )š‘‘š‘„= š‘“ (š‘” (š‘„ ))+š¶

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

Lesson 26: Integration by Substitution (handout)

Lesson 26: Integration by Substitution (handout)

Documents
Live Communication im Wandel der Kommunikationsportfolios - Substitution oder Integration?

Live Communication im Wandel der Kommunikationsportfolios - Substitution oder Integration?

Business
Integration - Dr. Ian Balitskybalitsky.com/teaching/phys420/Nm3_integration.pdfĀ Ā· 3 Three possible ways for exact integration Standard techniques of integration substitution rule,

Integration - Dr. Ian Balitskybalitsky.com/teaching/phys420/Nm3_integration.pdfĀ Ā· 3 Three possible ways for exact integration Standard techniques of integration substitution rule,

Documents
Generics Substitution, Bioequivalence Standards, and ...dineshthakur.com/wp-content/uploads/2016/06/Generic-Substitution.ā€¦Ā Ā· responsible manufacturers in product labels and updated

Generics Substitution, Bioequivalence Standards, and ...dineshthakur.com/wp-content/uploads/2016/06/Generic-Substitution.ā€¦Ā Ā· responsible manufacturers in product labels and updated

Documents
13.2 Integration by Substitution

13.2 Integration by Substitution

Documents
Techniques of Integration Substitution Rule Integration by Parts Trigonometric Integrals Trigonometric Substitution Integration of Rational Functions by

Techniques of Integration Substitution Rule Integration by Parts Trigonometric Integrals Trigonometric Substitution Integration of Rational Functions by

Documents
5. 4.5 Integration by Substitution Part 2 Trig Feb 10.notebookĀ Ā· 5. 4.5 Integration by Substitution Part 2 Trig Feb 10.notebook 3 February 10, 2017 C) D) Steps for USubstitution

5. 4.5 Integration by Substitution Part 2 Trig Feb 10.notebookĀ Ā· 5. 4.5 Integration by Substitution Part 2 Trig Feb 10.notebook 3 February 10, 2017 C) D) Steps for USubstitution

Documents
Lesson 27: Integration by Substitution (Section 041 slides)

Lesson 27: Integration by Substitution (Section 041 slides)

Technology
TOPIC TECHNIQUES OF INTEGRATION. 1. Integration by parts 2. Integration by trigonometric substitution 3. Integration by miscellaneous substitution 4

TOPIC TECHNIQUES OF INTEGRATION. 1. Integration by parts 2. Integration by trigonometric substitution 3. Integration by miscellaneous substitution 4

Documents
Integration by Substitution (4.5) February 7th, 2013

Integration by Substitution (4.5) February 7th, 2013

Documents
An Algebraic Study of Multivariable Integration and Linear Substitution

An Algebraic Study of Multivariable Integration and Linear Substitution

Documents
4.5 Integration by Substitution Outside Function Inside Function Derivative of Inside Function

4.5 Integration by Substitution Outside Function Inside Function Derivative of Inside Function

Documents
Integration by Substitution

Integration by Substitution

Documents
Integration by Substitution 2

Integration by Substitution 2

Documents
12X1 T06 01 integration using substitution (2011)

12X1 T06 01 integration using substitution (2011)

Education
Lesson 27: Integration by Substitution (Section 4 version)

Lesson 27: Integration by Substitution (Section 4 version)

Education
App Integration (Revised and Updated)

App Integration (Revised and Updated)

Technology
MAT01B1: Trig SubstitutionĀ Ā· Focus on trig substitution and integration using partial fractions. Tough integration by parts question: Q21: Z xe2x (1+2x)2 dx Hint: let u= xe2x, dv=

MAT01B1: Trig SubstitutionĀ Ā· Focus on trig substitution and integration using partial fractions. Tough integration by parts question: Q21: Z xe2x (1+2x)2 dx Hint: let u= xe2x, dv=

Documents
Opioid Substitution Therapy (OST) and TB/MDR integration

Opioid Substitution Therapy (OST) and TB/MDR integration

Healthcare
Integration by Substitution 1

Integration by Substitution 1

Documents
Lesson 27: Integration by Substitution, part II (Section 10 version)

Lesson 27: Integration by Substitution, part II (Section 10 version)

Education
6.3 integration by substitution

6.3 integration by substitution

Documents
Chapter 6 6.4 Integration of substitution and integration by parts of the definite integral

Chapter 6 6.4 Integration of substitution and integration by parts of the definite integral

Documents
Lesson 27: Integration by Substitution (Section 10 version)

Lesson 27: Integration by Substitution (Section 10 version)

Education
Section 5.3 Integration: ā€œIntegration by Substitutionā€

Section 5.3 Integration: ā€œIntegration by Substitutionā€

Documents
5.6 Integration by Substitution Method (U-substitution) Thurs Dec 3 Do Now Find the derivative of

5.6 Integration by Substitution Method (U-substitution) Thurs Dec 3 Do Now Find the derivative of

Documents
integration by substitution - MadAsMaths

integration by substitution - MadAsMaths

Documents
11 The student will learn about: Ā§4.3 Integration by Substitution. integration by substitution. differentials, and

11 The student will learn about: Ā§4.3 Integration by Substitution. integration by substitution. differentials, and

Documents
5.6 Integration by Substitution Method (U-substitution) Thurs Feb 20

5.6 Integration by Substitution Method (U-substitution) Thurs Feb 20

Documents
Lesson 29: Integration by Substitution

Lesson 29: Integration by Substitution

Education