Answered: Write an integral that will give the…

Write an integral that will give the surface generated by the curve revolving y-axis. Evaluate the integral of area of the surface (Hint: use a2 ± 2ab + b2 = (a ± b)2).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 15RE

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Question

Write an integral that will give the surface generated by the curve revolving y-axis.

Evaluate the integral of area of the surface (Hint: use a2 ± 2ab + b2 = (a ± b)2).

e2y + e-2y
Consider the curve x =
where 0<y < 1.
4

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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