   Chapter 6, Problem 59RE ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Area of a Region In Exercises 57–60, find the area of the unbounded shaded region. y = 3 ( 1 − 3 x ) 2 / 3 To determine

To calculate: The area under the bounded region by the graph of the equation y=3(13x)23 Explanation

Given Information:

The graph of the equation y=3(13x)23

Formula used:

From definition of improper integral.

If on the interval (,b], the function is continuous, then

bf(x)dx=limaabf(x)dx

The integral formula

eax=eaxa+C

Calculation:

Consider the provided expression:

03(13x)23dx

Use the definition of improper integral bf(x)dx=limaabf(x)dx

And simplify as:

03(13x)23dx=limbb03(13x)23dx

In the provided integral

Assume 13x=u

Now, differentiate

3dx=du<

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