00:01
Hi here for the given question.
00:03
We need to evaluate the value of the triple integration over the region e which is x square plus y square dv.
00:10
We have 0 less than or equal to x less than or equal to 3 0 less than or equal to y less than or equal to 3 minus x and 0 less than or equal to z less than or equal to x square plus y square upon 4.
00:23
So here in our case now the value of the limit of the integrals can be written as here.
00:29
We need to calculate iterated limit integration.
00:35
So here in our case one by one we will evaluate the value.
00:40
So here we have integration over 0 to x square plus y square upon 4 4 x square plus y square dz.
00:49
So here integrating with respect to dz and simplifying this equation here.
00:53
We have value to be equal to x square plus y square multiplied with x square plus y square upon 4 now here.
01:02
This integral is also from integration over 0 to 3 minus x and integration over 0 to 3 and here we have dy dx.
01:13
So here again integration over 0 to 3 minus x integration over 0 to 3 and here we have dy dx...