- #1

lionely

- 576

- 2

## Homework Statement

Find the equation of the curve which passes through the point (-1,0) and whose gradient at

any point (x,y) is 3x

^{2}-6x+4. Find the area enclosed by the curve, the axis of x and the ordinates x=1 and x=2.

**. The attempt at a solution**

I integrated and got the equation of the curve to be x

^{3}-3x

^{2}+4x +8

Now to find the area I'm not sure what to do, I tried to sketch a graph but I couldn't.

I tried integrating from x=1 to x=2 and I got 2, which isn't the answer in the book :S.

Help greatly appreciated.