Question

Change the Cartesin integrat to an equivalent potar integal, and then evalate. \[ \int_{0}^{11} \int_{0}^{\sqrt{121-y^{2}}}\left(x^{2}+x^{2}\right) d x d x \] \( \frac{13 \pi}{6} \) \( \frac{1464 \pi}{8} \) \( \frac{1393}{4} \) \( \frac{123 \pi}{16} \)

          Change the Cartesin integrat to an equivalent potar integal, and then evalate.
\[
\int_{0}^{11} \int_{0}^{\sqrt{121-y^{2}}}\left(x^{2}+x^{2}\right) d x d x
\]
\( \frac{13 \pi}{6} \)
\( \frac{1464 \pi}{8} \)
\( \frac{1393}{4} \)
\( \frac{123 \pi}{16} \)

Change the Cartesin integrat to an equivalent potar integal, and then evalate.

∫0^11∫0^√(121-y^2)(x^2+x^2) d x d x

(13 π)/(6)
(1464 π)/(8)
(1393)/(4)
(123 π)/(16)

Added by Mar C.

Thomas Calculus

George B. Thomas, Maurice D. Weir, Joel… 11th Edition

Chapter 15

Instant Answer

Solved by Expert Alec Traaseth

Step 1

The correct integral should be written as: \[ \int_{0}^{11} \int_{0}^{\sqrt{121-y^{2}}}(x^{2}+x^{2}) \, dx \, dy \] Given that, we see that the integrand simplifies to \(2x^2\), since \(x^2 + x^2 = 2x^2\). Show more…

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Thanks for your feedback!

Change the Cartesin integrat to an equivalent potar integal, and then evalate. \[ \int_{0}^{11} \int_{0}^{\sqrt{121-y^{2}}}\left(x^{2}+x^{2}\right) d x d x \] \( \frac{13 \pi}{6} \) \( \frac{1464 \pi}{8} \) \( \frac{1393}{4} \) \( \frac{123 \pi}{16} \)