[SOLVED] Differentiation & Intergration Question

**Question:**

http://img293.imageshack.us/img293/4...9w06qp1op7.jpg

The diagrams shows the curve $\displaystyle y = x(x-1)(x-2)$, which crosses the $\displaystyle x-axis$ at the points $\displaystyle O(0,0)$, $\displaystyle A(1,0)$ and $\displaystyle B(2,0)$.

(i) The tangents to the curve at the points A and B meet at the point C. Find the coordinates of C.

(ii) Show by integration that the area of the shaded region $\displaystyle R_1$ is the same as the area of the shaded region $\displaystyle R_2$.

**Attempt:**

I can't see the point $\displaystyle C$ on the graph!(Sadsmile)