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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 39RE

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Question

2. Convert the integral

\[
\int_{-1}^{1} \int_{0}^{\sqrt{1-x^2}} \int_{0}^{y} (x^2 + y^2) \, dz \, dy \, dx
\]

to cylindrical coordinates and evaluate the result. *(Think about why converting to cylindrical coordinates makes sense.)*

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