   Chapter 4.4, Problem 45E

Chapter
Section
Textbook Problem

Finding the Area of a Region In Exercises 41-46, find the area of the region bounded by the graphs of the equations. y = − x 2 + 4 x ,       y = 0

To determine

To calculate: The area of the region that is bound by the graph of y=x2+4x and y=0

Explanation

Given:

The function of the curve is y=x2+4x. And the region is bound by y=0.

Formula used:

xndx=xn+1n+1

The area under a curve can be calculated by evaluating the integral indicating the curve

abf(x)dx

Calculation:

The interval is [0,4] as y>0 on this interval. Therefore, area (A) under the curve can be calculated by integrating y=x2+4x within the interval

A=04x2+4xdx

Use

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