Question

$65-69$ Use geometry or symmetry, or both, to evaluate the double integral. $$\begin{array}{l}{\iint_{D}(x+2) d A} \\ {D=\left\{(x, y) | 0 \leqslant y \leqslant \sqrt{9-x^{2}}\right\}}\end{array}$$

          $65-69$ Use geometry or symmetry, or both, to evaluate the
double integral.
$$\begin{array}{l}{\iint_{D}(x+2) d A} \\ {D=\left\{(x, y) | 0 \leqslant y \leqslant \sqrt{9-x^{2}}\right\}}\end{array}$$

Added by Ronald R.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Rukhmani Jain

04/23/2022

Step 1

The region D is defined as $D=\{(x, y) | 0 \leq y \leq \sqrt{9-x^2}\}$, which means the limits of integration for x are from -3 to 3 and for y are from 0 to $\sqrt{9-x^2}$. Show more…

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$65-69$ Use geometry or symmetry, or both, to evaluate the double integral. $$\begin{array}{l}{\iint_{D}(x+2) d A} \\ {D=\left\{(x, y) | 0 \leqslant y \leqslant \sqrt{9-x^{2}}\right\}}\end{array}$$