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Evaluate the iterated integral :

131503xy2zdzdydx

Short Answer

Expert verified

1892

Step by step solution

01

Step 1. Given information.

Given integral is :

131503xy2zdzdydx

We have to evaluate it.

02

Step 2. Evaluate.

Given 131503xy2zdzdydx

=131503xy2zdzdydx=1315xy203zdzdydx=1315xy2z2203dydx=1315xy292dydx

03

Step 3. Integrate with respect to y.

=1392x15y2dydx=1392xy3315dx=1392x533(1)33dx=1392x(42)dx=12189xdx

Integrate with respect to x.

=18901xdx=189x2201=189120=1892

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