Now consider the following integral. x=3 D = x ² A(x, y, z) dy dx. x=0 y=0 (ii) Let A(x, y, z) = 21 dz. Evaluate A. Substitute A into D and solve. (iii) Write D as a triple integral.

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Now consider the following integral.

\[ D = \int_{x=0}^{x=3} \int_{y=0}^{y=2} A(x,y,z) \, dy \, dx. \]

(ii) Let \( A(x, y, z) = \int_{z=0}^{z=1} 1 \, dz \). Evaluate \( A \). Substitute \( A \) into \( D \) and solve.

(iii) Write \( D \) as a triple integral.
Transcribed Image Text:Now consider the following integral. \[ D = \int_{x=0}^{x=3} \int_{y=0}^{y=2} A(x,y,z) \, dy \, dx. \] (ii) Let \( A(x, y, z) = \int_{z=0}^{z=1} 1 \, dz \). Evaluate \( A \). Substitute \( A \) into \( D \) and solve. (iii) Write \( D \) as a triple integral.
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