4. Convert the integral to spherical coordinates and evaluate the integral. V49 - x S. 49 - x2 2 – y? 7 2 + y² + dzdydx
4. Convert the integral to spherical coordinates and evaluate the integral. V49 - x S. 49 - x2 2 – y? 7 2 + y² + dzdydx
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![4. Convert the integral to spherical coordinates and evaluate the integral.
\[
\int_{0}^{7} \int_{0}^{\sqrt{49-x^2}} \int_{0}^{\sqrt{49-x^2-y^2}} \sqrt{x^2 + y^2 + z^2} \, dz \, dy \, dx
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F66c7b497-dac7-4855-b923-2e60bbc73063%2Fefe55501-e009-4955-b406-8dd94a072e11%2Fk3lcax_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. Convert the integral to spherical coordinates and evaluate the integral.
\[
\int_{0}^{7} \int_{0}^{\sqrt{49-x^2}} \int_{0}^{\sqrt{49-x^2-y^2}} \sqrt{x^2 + y^2 + z^2} \, dz \, dy \, dx
\]
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