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Section 5.5 (and 5.7)

Section 5.5 (and 5.7). Integration by Substitution & Natural Logs. The Chain Rule & Integration. How do we handle something like this? Think back to how we took the derivative of a composite function like. -Substitution. Example 1.

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Section 5.5 (and 5.7)

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  1. Section 5.5 (and 5.7) Integration by Substitution & Natural Logs

  2. The Chain Rule & Integration • How do we handle something like this? • Think back to how we took the derivative of a composite function like . . .

  3. -Substitution

  4. Example 1 Find the indefinite integral and check the result by differentiation.

  5. Example 2 Find the indefinite integral and check the result by differentiation.

  6. Example 3 Find the indefinite integral and check the result by differentiation.

  7. What about some of our other trig fnc.’s? • Can we use some of these methods to integrate something like what we have below?

  8. What about some of our other trig fnc.’s? • Can we use some of these methods to integrate something like what we have below?

  9. Example 4 Find the indefinite integral and check the result by differentiation.

  10. Example 5 Find the indefinite integral and check the result by differentiation.

  11. Example 6 Find the indefinite integral and check the result by differentiation.

  12. Example 7 Find the indefinite integral and check the result by differentiation.

  13. Example 8 Find the indefinite integral and check the result by differentiation.

  14. Example 9 Find the indefinite integral and check the result by differentiation.

  15. Example 10 Evaluate the definite integral.

  16. Example 11 Evaluate the definite integral.

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