# 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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**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