In Exercises 51 and 52, use a computer algebra system to

Chapter 14, Problem 51

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In Exercises 51 and 52, use a computer algebra system to approximate 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_{-sqrt{1 - x^2}}^{sqrt{1 - x^2}} int_{-sqrt{1 - x^2 - y^2}}^{sqrt{1 - x^2 -y^2}}(x^2 + y^2) dz dy dx

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