Review question

# What's the area enclosed by $y=x(x-3)^2$ and a tangent? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R7386

## Question

Show that the gradient of the curve $y=x(x-3)^2$ is zero at the point $P(1,4)$, and sketch the curve.

The tangent at $P$ cuts the curve again at $Q$. Calculate the area between the chord $PQ$ and the curve.