Question: ( 5 ) Rewrite the integral 0 1 0 x 0 1 - x 2 2 z d z d y d x in the

(5)

Rewrite the integral

_{0}^{1}_{0}^{x}_{0}^{\sqrt[]{1 - x^{2}}} z d z d y d x

in the order

d y d x d z,

and evaluate it

.

Hint: You will need a reasonably good idea of what the solid over which the integration is being done looks like to have any hope of getting correct limits for the iterated integral in the new order of integration.

( 5 ) Rewrite the integral 0 1 0 x 0 1 - x 2 2 z

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