Question

Compute the double integral over the region D where D is the region bounded by y=4-x^2, y=3x and x=0.
f(x,y)=4x

Answer 1

Well if it helps I guessed until I got it right. The answer was 3 but I don't know how they got there. I tried two double integrals with limits corresponding to x and y, but kept on getting 13 instead of 3. Any advice?

Answer 2

\[\int\limits_{0}^{1}\int\limits_{3x}^{4-x^2}4x\,dy\,dx\]