00:01
We have to find the value of the integral i equals to integration from y is equal to 0 to y is equal to 8 integration from x is equal to cube root of y to x is equal to 2, 3, e to the power x to the power 4 dx dy.
00:24
So, first of all, we can see that the region of integration is bounded by x is equal to cube root of y, x is equal to 2, y is equal to 0 and y is equal to 8.
01:01
So, first of all, we will draw the curve, this is y axis and this is x axis and this is the curve.
01:13
So, the value of x is changing from 2 to the curve that is cube root of y and the value of y is changing from 8 to 0.
01:27
So, we have to find out the area of this region.
01:30
So, we can write on changing the order of integration, the new limits are y is changing from 0 to x cube and x is changing from 0 to 2...