(i)[5]
Derive expressions for $\frac{dy}{dx}$ and $\int y\,dx$.
(ii)[3]
Determine the coordinates of $M$.
(iii)[4]
Show all necessary working to find the area of the shaded region.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram depicts a section of the curve $y = 3\sqrt{(4x + 1)} - 2x$. The curve meets the $y$-axis at $A$, and the curve's stationary point is $M$.