# Thread: Integration, finding area between curves and lines, need help please

1. ## Integration, finding area between curves and lines, need help please

need help with it so if anyone here knows, id be grateful for any. the question is: Find the area between the curve y=6+x-x^2 and the x axis.(no diagram by the way) i dont even know where to start

2. The curve intersects the $x$ axis in $x=-2,\,x=3,$ hence, we integrate according to $-2\le x\le3,$ besides, $f>0$ on $[-2,3]$ and the integral $\int_{-2}^3(6+x-x^2)\,dx$ yields the expected area.

3. thanks for the reply, where did you get the x values from though?

4. Originally Posted by jackass1
thanks for the reply, where did you get the x values from though?
Solve $0 = 6+x-x^2$ to get x-intercepts I would have thought.