Question

$ (2 u 2 a) I=\iiint_{\Omega}(2 x+3) d x d y d e $ $ \Omega\left\{\begin{array}{l}y^{2}+z^{2} \leqslant 1 \\ x \geqslant 0 \\ x \leqslant 3-\sqrt{y^{2+} z^{2}} \\ y \geqslant z \\ y \geqslant 0\end{array}\right. $ bent $ \quad D ; \begin{array}{l}x=x \\ y=x \cos 4 \\ z=r \cdot y\end{array} $ yride renyina cercos sio $ 4-\frac{1}{2}=\varphi \sin $ $ \cdots-2 $ \[ \begin{array}{l} I=\int_{-\frac{\pi}{2}}^{\frac{\pi}{6}} d q \int_{0}^{1}\left(r-9 r^{2}+18 r\right) d r \\ J=\int_{\frac{\pi}{2}}^{\frac{\pi}{2}} \frac{25}{9} d y=\frac{75 \pi}{16} \end{array} \]

          \( (2 u 2 a) I=\iiint_{\Omega}(2 x+3) d x d y d e \)
\( \Omega\left\{\begin{array}{l}y^{2}+z^{2} \leqslant 1 \\ x \geqslant 0 \\ x \leqslant 3-\sqrt{y^{2+} z^{2}} \\ y \geqslant z \\ y \geqslant 0\end{array}\right. \) bent \( \quad D ; \begin{array}{l}x=x \\ y=x \cos 4 \\ z=r \cdot y\end{array} \)
yride renyina cercos sio \( 4-\frac{1}{2}=\varphi \sin \) \( \cdots-2 \)
\[
\begin{array}{l}
I=\int_{-\frac{\pi}{2}}^{\frac{\pi}{6}} d q \int_{0}^{1}\left(r-9 r^{2}+18 r\right) d r \\
J=\int_{\frac{\pi}{2}}^{\frac{\pi}{2}} \frac{25}{9} d y=\frac{75 \pi}{16}
\end{array}
\]

$(2 u 2 a) I=∭Ω(2 x+3) d x d y d e Ω{ y^2+z^2⩽ 1 x ⩾ 0 x ⩽ 3-√(y^2+ z^2) y ⩾ z y ⩾ 0 . bent D ; x=x y=x cos 4 z=r · y yride renyina cercos sio 4-(1)/(2)=φsin ⋯-2 I=∫-(π)/(2)^(π)/(6) d q ∫0^1(r-9 r^2+18 r) d r J=∫(π)/(2)^(π)/(2)(25)/(9) d y=(75 π)/(16)$

Added by Kimberly P.

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