?Convert the \(\int_{-4}^{4} \int_{-\sqrt{16-y^{2}}}^{\sqrt{16-y^{2}}}

Chapter 5, Problem 284

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Convert the \(\int_{-4}^{4} \int_{-\sqrt{16-y^{2}}}^{\sqrt{16-y^{2}}} \int_{-\sqrt{16-x^{2}-y^{2}}}^{\sqrt{16-x^{2}-y^{2}}} \left(x^{2}+y^{2}+z^{2}\right) d z d x d y\) into an integral in spherical coordinates.

Text Transcription:

int_-4^4 int_-sqrt 16-y^2 ^ sqrt 16-y^2 int_-sqrt 16-x^2-y^2 ^ sqrt 16-x^2-y^2 (x^2+y^2+z^2) dzdxdy

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