   Chapter 8.5, Problem 4E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
1 views

# Integrating a Trigonometric Function In Exercises 1–32, find the indefinite integral. See Examples 1, 2, 3, 4, 5, and 8. ∫ cos   6 x   d x

To determine

To calculate: The integral of cos6xdx.

Explanation

Given Information:

The provided integral is cos6xdx.

Formula used:

Write the formula of integral of sinu.

cosudu=sinu+C

Write the formula for derivative of xn.

ddxxn=nxn1

Calculation:

Consider u=6x.

Differentiate with respect to x,

d(u)dx=d(6x)dx=6

And,

du=6dx

The provided integral is,

cos6xdx

Multiply and divide by 6

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Convert the expressions in Exercises 6584 to power form. xx

Finite Mathematics and Applied Calculus (MindTap Course List)

#### In Problems 7-34, perform the indicated operations and simplify. 31.

Mathematical Applications for the Management, Life, and Social Sciences

#### The quadratic approximation for at a = 1 is:

Study Guide for Stewart's Multivariable Calculus, 8th 