Answered: 42. y = 0, y = cos² x, -π/2

Math

Calculus

42. y = 0, y = cos² x, -π/2

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section: Chapter Questions

Problem 49RE

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Question

Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Then use a calculator or computer to evaluate the integral correct to five decimal places.

42. y = 0, y = cos² x, −π/2 < x < π/2
a. About the x-axis
b. About
=
Y 1

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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