So I'm trying to do a problem for a hw, and I can't seem to get the proper answer
The problem is giving a triangle, whose side are y from 0 to 2 and x from 0 to 4.
It wants me to integrate the function f(x,y) = x^2y within this boundary
So I chose for my constant of this function to be y is less than or equal to 2x and greater than or equal to 0. This is confirmed by an example in the book using an identical triangle
So i integrated the function with respect to x using these limit and go 8x^4/3
I then integrated between 0 and 2 with respect to y and go 256/15
this isnt right, and I cant seem to get a different answer than this