In Exercises 53 and 54, use a computer algebra system toevaluate the iterated integral

Chapter 14, Problem 53

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In Exercises 53 and 54, use a computer algebra system to evaluate the iterated integral.

\(\int_{-1}^{1} \int_{-\sqrt{1-x^{2}}}^{\sqrt{1-x^{2}}} \int_{-\sqrt{1-x^{2}-y^{2}}}^{\sqrt{1-x^{2}-y^{2}}}\left(x^{2}+y^{2}\right)\ d z\ d y\ d x\)

Text Transcription:

int _-1 ^1 int _-sqrt1-x^2 ^sqrt1-x^2 int_ -sqrt1-x^2 -y^2 ^sqrt1-x^2 -y^2 (x^2 +y^2) dz dy dx

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