Question

Is \[\int\limits_{y=a}^{y=b}\int\limits_{x=c}^{x=d}f(x,y)dxdy=\int\limits_{x=c}^{x=d}\int\limits_{y=a}^{y=b}f(x,y)dydx\]
ALWAYS true?

Answer 1

i want to say yes, only if a,b,c,& d are constants

Answer 2

If not constants, then not? It seems so intuitively.

Answer 3

http://tutorial.math.lamar.edu/Classes/CalcIII/IteratedIntegrals.aspx