2. 6.2 Antidifferentiation by Substitution

3. Quick Review

5. What you’ll learn about Indefinite Integrals Leibniz Notation and Antiderivatives Substitution in Indefinite Integrals Substitution in Definite Integrals Essential Question What are some antidifferentiation techniques and how can I use substitution to find indefinite or definite integrals?

6. Indefinite Integral The family of all antiderivatives of a function f (x) is the indefinite integral of f with respect to x and is denoted by If F is any function that then where C is an arbitrary constant called the constant of integration. Example Evaluating an Indefinite Integral

7. Properties of Indefinite Integrals Power Functions

8. Trigonometric Formulas Exponential and Logarithmic Formulas

9. Example Paying Attention to the Differential Find each of the following antiderivatives in terms of x.

10. Example Using Substitution

12. Pg. 337, 6.2 #1-45 odd

13. 6.2 Antidifferentiation by Substitution

15. What you’ll learn about Indefinite Integrals Leibniz Notation and Antiderivatives Substitution in Indefinite Integrals Substitution in Definite Integrals Essential Question What are some antidifferentiation techniques and how can I use substitution to find indefinite or definite integrals?

16. Example Setting Up a Substitution with a Trigonometric Identity

17. Example Evaluating a Definite Integral by Substitution

18. Example Setting Up a Substitution with a Trigonometric Identity

20. Pg. 338, 6.2 #47-69 odd