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Use the Given Transformation to Evaluate the Integral x=10u,y=7v,z=2w;R2y2dxdydz\begin{array} { l } x = 10 u , y = 7 v , z = 2 w ; \\\quad \int _ { R } \int _ { \int } \int ^ { 2 } y ^ { 2 } d x d y d z\end{array}

question 68

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Use the given transformation to evaluate the integral.
- x=10u,y=7v,z=2w;R2y2dxdydz\begin{array} { l } x = 10 u , y = 7 v , z = 2 w ; \\\quad \int _ { R } \int _ { \int } \int ^ { 2 } y ^ { 2 } d x d y d z\end{array}
where RR is the interior of the ellipsoid x2100+y249+z24=1\frac { x ^ { 2 } } { 100 } + \frac { y ^ { 2 } } { 49 } + \frac { z ^ { 2 } } { 4 } = 1


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