   Chapter 12.2, Problem 13E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# Evaluate the integrals in Problems 7-36. Check your results by differentiation. ∫ 7 ( 4 x − 1 ) 6 d x

To determine

To calculate: The value of the integral 7(4x1)6dx.

Explanation

Given Information:

The provided integral is 7(4x1)6dx

Formula used:

The power formula of integrals:

undu=un+1n+1+C (forn1)

The power rule of differentiation:

ddu(un)=nun1

Calculation:

Consider the provided integral:

7(4x1)6dx

Rewrite the integral by multiplying and dividing by 4 as:

744(4x1)6dx

Let u=4x1, then derivative will be,

du=d(4x1)=4dx

Substitute du for 4dx and u for 4x1 in provided integration

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