   Chapter 5.2, Problem 30E ### 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

# Applying the General Power Rule In Exercises 9–34, find the indefinite integral. Check your result by differentiating. See Examples 1, 2, 3, and 5. ∫ 9 x 3 x 4 + 2   d x

To determine

To calculate: The indefinite integral of 9x3x4+2dx and check the result by differentiating.

Explanation

Given Information:

The indefinite integral is 9x3x4+2dx.

Formula used:

General Power Rule:

If u is a differentiable function of x, then

undudxdx=undu=un+1n+1+C,n1

The Power Rule:

ddxxn=nxn1

Where n is a real number.

Calculation:

Consider indefinite integral,

9x3x4+2dx

This can be written as 9x3(x4+2)12dx.

Let u=x4+2,

So,

du=4x3dx

Now use the general power rule to get,

9x3(x4+2)12dx=94(u)12du

Now the integral will be:

94(u)12du=94u12+112+1+C=94u3232

### 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

#### Evaluate Evaluate the expression. 9. |14|

Precalculus: Mathematics for Calculus (Standalone Book)

#### A sample of n = 9 scores has X = 108. What is the sample mean?

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

#### 21. From the following list of sets, indicate which pairs of sets are disjoint.

Mathematical Applications for the Management, Life, and Social Sciences

#### For y = 3x, y = a) 3x log3 e b) 3x ln 3 c) 3xlog3e d) 3xln3

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 