Question

∬_D y d A
D is between x=y^2 -1 & x=-y^2+2y+3

Answer 1

\[\int\limits_{-1}^{2}\int\limits_{y^2-1}^{-y^2+2y+3}y\,dx\,dy=\frac{9}{2}\]

Answer 2

Zarkon, shouldn't the outter integral be:
\[\huge\int\limits_0^3\]
Instead of:
\[\huge\int\limits_0^2\]

Answer 3

solve y^2 -1=-y^2+2y+3

you get y=-1 and 2

Answer 4

Ahhhh gotcha lol