   Chapter 7.5, Problem 73E

Chapter
Section
Textbook Problem

# Evaluate the integral. ∫ x + arcsin x 1 − x 2 d x

To determine

To find:

x+arc sinx1-x2dx

Explanation

Formula used: 1. xndx=xn+1n+1

Calculations: We simplify the given integral I

I=x1-x2+arc sinx1-x2dx

Solving

I1=x1-x2dx

Substitute 1-x2=t, -2x dx=dt

I1=-12dtt=-12t12=-t+c=-1-x2+c

Solving

I2=ar

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