Thread: Double integral problem

I'm trying to prove that J=>0. J is defined as the double integral over region R of f(x,y)dA with R = [-2,2]x[2,4] and f = (x^5+y^5)^(1/5). I know I have to set f smaller and bigger than my region R, but then how can I translate that to the integral?

Originally Posted by richardsim10

I'm trying to prove that J=>0. J is defined as the double integral over region R of f(x,y)dA with R = [-2,2]x[2,4] and f = (x^5+y^5)^(1/5). I know I have to set f smaller and bigger than my region R, but then how can I translate that to the integral?

The Function will have its absolute minimum on the recangle



at the point

and it will have its absolute max at the point

.

This gives.



But more importantly why does it have these extreem values

Function as a surface: