Question

Evaluate the iterated integral.

π

0

7x

0

xz	13x2 sin y dy dz dx
0

Answer 1

Here we have to calculate the given triple integral.

Given integral is;

Therefore integrating the above function firslty with respect to "y" we get;

Now integrating the result we get above with respect to "z".

Let;

Now substituting for the value of limits;

Lower limit;

Upper limit;

Hence integration will become as;

Now integrating this result with respect to "x" we get;

Let;

Now substituting for the value of limits we get;

Lower limit;

Upper limit;

Hence the integration will be chnaged now;

Therefore required solution for the integration is;