   Chapter 12, Problem 4RE ### 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 1-26. 4.   ∫ 7 ( x 2 − 1 ) 2   d x

To determine

To calculate: The value of the integral 7(x21)2dx.

Explanation

Given Information:

The provided integral is 7(x21)2dx.

Formula used:

According to the power formula of integrals,

xndx=xn+1n+1+C

According to the properties of integrals,

[u(x)±v(x)]dx=u(x)dx+v(x)dx

According to the properties of integrals,

dx=x+C

The power rule of differentiation, ddx(xn)=nxn1.

Calculation:

Consider the provided integral,

7(x21)2dx

By the use the property of integrals,

7(x21)2dx=7(x42

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