   Chapter 12, Problem 11RE ### 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. ∫ x 2   d x x 3 − 4 3

To determine

To calculate: The value of the integral x2x343dx.

Explanation

Given Information:

The provided integral is x2x343dx

Formula used:

According to the power formula of integrals:

xndx=xn+1n+1+C

Calculation:

Consider the provided integral:

x2x343dx

Now, rewrite the integral by multiplying and dividing by 3 as,

133x2x343dx

Now, let x34=t, then on obtaining differentials,

3x2dx=dt

Thus, the integral becomes,

13dtt1/3

Now, use the power rule of integrals to obtain the above integral as:

13dtt1/3=13(t1/3+1113)=13(

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