Posted by
**gibbs** on
.

The function f(x)= ax^3 - bx +c passes through the origin, f(-1)=4/3 and it has an extreme point at x=1

(i) Find the values of a, b and c.

(ii) Sketch the graph

(iii) Find the area bounded by the graph of f(x) and the x-axis between the lines x=-1 and x=1