   Chapter 6.1, Problem 2E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# Find the area of the shaded region. To determine

The area of the given shaded region.

Explanation

Given information:

The upper bound curve y=f(x) is 2x.

The lower bound curve y=g(x) is x24x.

The shaded region lies between x=0 and x=6. Hence, the limits are a=0 and b=6.

Calculation:

Calculate the area of the shaded region using the area formula.

A=abf(x)dxabg(x)dx (1)

Here, the area of region bounded by the upper curve is abf(x)dx and the area of region bounded by lower curve is abg(x)dx.

Substitute 2x for f(x), x24x for g(x), 0 for a, and 6 for b in Equation (1)

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