   Chapter 12, Problem 3T ### Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340

#### Solutions

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

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340
Textbook Problem

# Evaluate the integrals in Problems 1-11. 3.   ∫ 5 ( x 2 − 1 )   d x

To determine

To calculate: The integral 5(x21)dx.

Explanation

Given Information:

The integral is;

5(x21)dx

Formula used:

The power rule of integration is;

The integration of function f(x)=xn is given by;

xndx=xn+1n+1+c n1

Here c is any arbitrary constant.

The sum rule is;

f(x)±g(x)dx=f(x)dx±g(x)dx

Calculation:

Provided integral is;

5(x21)dx

The sum rule is;

f(x)±g(x)dx=f(x)dx±g(x)dx

Apply the sum

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