Question

Calculate the double integral
∫∫xcos(2x+y)dA where R is the region 0<=x<=2pi/6, 0<=y<=2pi/4.

Answer 1

Here's the region R:
The integral is then
\[\large\int_0^{\pi/3}\int_0^{\pi/2}x\cos(2x+y)\;dy\;dx\] or
\[\large\int_0^{\pi/2}\int_0^{\pi/3}x\cos(2x+y)\;dx\;dy\]
I think the second one is the way to go.