# Math Help - [SOLVED] Area between a curve

1. ## [SOLVED] Area between a curve

given curves f(y)=y(2-y) f(y)=-y
I graph the curves as y=x(2-y) and y=-x rotated 90 degrees clockwise.

This is the setup for the the integral.
A= integral [right-left]
$
\int_{-3}^0(y(2-y)-(-y))dy
$

but When I solve I end up with a negative value

2. Originally Posted by swatpup32
given curves f(y)=y(2-y) f(y)=-y
I graph the curves as y=x(2-y) and y=-x rotated 90 degrees clockwise.

This is the setup for the the integral.
A= integral [right-left]
$
\int_{-3}^0(y(2-y)-(-y))dy
$

but When I solve I end up with a negative value

your limits of integration should be from 0 to 3 ... note the graph