   Chapter 4.R, Problem 22E

Chapter
Section
Textbook Problem

# Evaluate the integral, if it exists. ∫ − 1 1 sin x 1 + x 2   d x

To determine

To evaluate:

-11sinx1+x2 dx is it exists

Explanation

1) Concept:

By using theorem for integration of an odd function

2) Theorem:

Suppose f is continuous on [-a, a] and if f is odd [f-x=-fx], then

-aaf(x)dx=0

3) Given:

-11sinx1+x2 dx

4) Calculation:

Consider,

-11sinx1+x2 dx

Here,

fx=sinx1+x2

Now,

f-x=

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