Review question

# Can we find this area by integrating with respect to $y$? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R9815

## Question

Sketch the form of the curve $27y^2=x^3$, and find the equation of the tangent at the point $P(12,8)$ on the curve.

Verify this tangent cuts the curve again at the point $Q(3,-1)$.

If $O$ is the origin, find by integration the area enclosed by the arcs $OP$, $OQ$ of the curve and the line $PQ$. [Integration with respect to $y$ is recommended.]