Chapter 8.1, Problem 4E

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

Chapter
Section

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347
Textbook Problem

# Choosing an Antiderivative In Exercises 3 and 4, select the correct antiderivative. ∫ x x 2 + 1 d x (a) ln x 2 + 1 + C (b) 2 x ( x 2 + 1 ) 2 + C (c) arctan x + C (d) ln ( x 2 + 1 ) + C

To determine
Match the correct expression for the anti-derivative of 1x2+1dx will be, out of the given options.

(a) lnx2+1+C

(b) 2x(x2+1)2+C

(c) arctanx+C

(d) ln(x2+1)+C

Explanation

Given:

The options are:

(a) lnx2+1+C

(b) 2x(x2+1)2+C

(c) arctanx+C

(d) ln(x2+1)+C

Explanation:

Consider the given integral,

âˆ«1

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