Chapter 14.2, Problem 38E

Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

Chapter
Section

Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347
Textbook Problem

Volume of a Region Bounded by Two Surfaces In Exercises 35-40, set up a double integral to find the volume of the solid region bounded by the graphs of the equations. Do not evaluate the integral. z − sin x 2 x ,     z = 0 ,     0 ≤ x ≤ π ,     0 ≤ y ≤ 5

To determine

To calculate: The double integral setup to find the volume of the solid region bounded by the graphs of the equations z=sin2x,z=0,0xπ,0y5.

Explanation

Given:

The provided equations:

z=sin2x,z=0,0â‰¤xâ‰¤Ï€,0â‰¤yâ‰¤5.

Calculation:

The provided equations are:

z=sin2x,z=0,0â‰¤xâ‰¤Ï€,0â‰¤yâ‰¤5

The volume of a solid region is provided by,

V=âˆ«05âˆ«0Ï€(sin2x)dxdyâˆ’âˆ«05âˆ«0Ï€(

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