   Chapter 5.3, Problem 6CP ### 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
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# Checkpoint 6 Worked-out solution available at LarsonAppliedCalculus.comFind ∫ 3 x x 2 + 4   d x .

To determine

To calculate: The indefinite integral 3xx2+4dx.

Explanation

Given Information:

The provided indefinite integral is 3xx2+4dx

Formula used:

The logarithmic rule of integrals:

duu=ln|u|+C

The constant rule of integrals:

cdu=cdu

Calculation:

Consider the indefinite integral:

3xx2+4dx

Let u=x2+4, then derivative will be,

du=d(x2+4)=2xdx

Rewrite the integral as:

322xdxx2+4

Substitute du for 2xdx and u for x2+4 in provided integration

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