Combine the sum of the two iterated integrals into a

Chapter 14, Problem 34

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Combine the sum of the two iterated integrals into a single iterated integral by converting to polar coordinates. Evaluate the resulting iterated integral.

\(\int_{0}^{8 / \sqrt{13}} \int_{0}^{3 x / 2} x y d y d x+\int_{8 / \sqrt{13}}^{4} \int_{0}^{\sqrt{16-x^{2}}} x y d y d x\)

Text Transcription:

int_{0}^{8/sqrt{13}} int_{0}^{3x/2} xy dy dx + int_{8/sqrt{13}}^{4} int_{0}^{sqrt{16 - x^2} xy dy dx

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