# Integration by parts leads to a rule for integrating inverses that usually gives good results: The idea is to take

## Question:

Integration by parts leads to a rule for integrating inverses that usually gives good results:

The idea is to take the most complicated part of the integral, in this case ƒ -1(x), and simplify it first. For the integral of ln x, we get

For the integral of cos-1 x we get

Use the formula

to evaluate the integrals. Express your answers in terms of x.

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## Step by Step Answer:

Related Book For

## Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

Question Details
Chapter # 8
Section: Exercises 8.2
Problem: 72
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Question Posted: April 30, 2023 07:12:58