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Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621

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Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621
Textbook Problem

Graph the region between the curves and use your calculator to compute the area correct to five decimal places.

y = cos x ,   y = x + 2 sin 4 x

To determine

To graph:

The region between the curves and use the calculator to compute the area correct to five decimal places.

Explanation

1) Concept:

Graph the two curves and set up the integral for the area using the concept of area between two curves.

Area between two curves:

The area between the curves y=fx and y=gx is

ab fx-g(x) dx

2) Given:

The equation of the curves y=cosx   and  y=x+sin4x

3) Calculation:

Graph f(x)=cosx and g(x)=x+2sin4x  on a calculator.

The curves intersect at x =-1.911917 , x=-1.223676  and  x=0

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