Chapter 8.7, Problem 38E

### 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

# Finding an Indefinite Integral In Exercises 19–40, use a table of integrals to find the indefinite integral. ∫ cos x sin 2 x + 1   d x

To determine

To calculate: The value of the indefinite integral cosxsin2x+1dx by the use of a table of integrals.

Explanation

Given:

The integral is: âˆ«cosxsin2x+1dx.

Formula used:

Use the formula 31 from the table of integrals:

âˆ«1u2Â±a2du=ln|u+u2Â±a2|+C

Calculation:

Consider the provided integral,

âˆ«cosxsin2x+1dx=âˆ«1sin2x+1cosxdx

Let a=1 and u=sinx. Then du=cosxdx

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