(a)[4]
Find the coordinates of the curve's maximum point.
(b)[3]
Verify that the line $AB$ is normal to the curve at $A$.
(c)[5]
Find the area of the shaded part.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram illustrates the points $A\,(1\tfrac{1}{2}, 5\tfrac{1}{2})$ and $B\,(7\tfrac{1}{2}, 3\tfrac{1}{2})$ on the curve with equation $y = 9x - (2x + 1)^{\tfrac{3}{2}}$.