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Evaluate the surface integral. $\iint_{s} x d S$ $S$ is the surface $y=x^{2}+4 z, 0 \leqslant x \leqslant 1,0 \leqslant z \leq 1$...

Question

Evaluate the surface integral. $\iint_{s} x d S$ $S$ is the surface $y=x^{2}+4 z, 0 \leqslant x \leqslant 1,0 \leqslant z \leq 1$

Evaluate the surface integral. $\iint_{s} x d S$ $S$ is the surface $y=x^{2}+4 z, 0 \leqslant x \leqslant 1,0 \leqslant z \leq 1$



Answers

Find the area of the surface.

The surface $ z = \frac{2}{3} \bigl(x^{3/2} + y^{3/2} \bigr) $, $ 0 \leqslant x \leqslant 1 $, $ 0 \leqslant y \leqslant 1 $


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