# (a) Use integration by parts to show that (b) If f and g are inverse functions and f' is continuous,...

## Question:

(a) Use integration by parts to show that

(b) If f and g are inverse functions and f' is continuous, prove that

(c) In the case where f and t are positive functions and b > a > 0, draw a diagram to give a geometric interpretation of part (b).

(d) Use part (b) to evaluate ∫^{e}_{1} ln x dx.

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## Step by Step Answer:

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**Question Details**

Chapter #

**7**- Techniques of IntegrationSection: Exercise 7-1

Problem: 72

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