Question:medium

Evaluate \[ \iint_D x^2y\,dx\,dy, \] where \[ D:\;x^2+y^2\le16. \]

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Always check symmetry before integrating. An odd function integrated over a symmetric region often evaluates immediately to zero, saving considerable computation.

Updated On: Jun 25, 2026

\(2\times\frac{4^5}{15}\)
\(\pi\times\frac{4^5}{15}\)
\(0\)
\(\pi\times\frac{4^5}{25}\)

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The Correct Option is C

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