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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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Checkpoint 5 Worked-out solution available at LarsonAppliedCalculus.com

Find 1 4 x + 1 d x .

To determine

To calculate: The indefinite integral 14x+1dx.

Explanation

Given Information:

The provided indefinite integral is 14x+1dx

Formula used:

The logarithmic rule of integrals:

duu=ln|u|+C

The constant rule of integrals:

cdu=cdu

Calculation:

Consider the indefinite integral:

14x+1dx

Let u=4x+1, then derivative will be,

du=d(4x+1)=4dx

Rewrite the integral as:

144dx4x+1

Substitute du for 4dx and u for 4x+1 in provided integration

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