(843,#33) Use a computer algebra system to find the exact value of the integral .

Then use the CAS to draw the solid whose volume is given by the integral.

Solution: The function has a big spike at x = 1, y = 1. (Why ?)

Using Maple, the exact value of the evaluated integral is 21e - 57:

int( int( f(x,y), x=0..1), y=0..1);

Maple code

by: nl