(i)[4]
Obtain formulas for $\frac{dy}{dx}$ and $\int y \, dx$.
(ii)[4]
Find coordinates for $B$.
(iii)[4]
Find the area of the shaded region, showing all necessary working.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram depicts a section of the curve $y = 1 - \frac{4}{(2x + 1)^2}$. The curve meets the $x$-axis at $A$. The normal drawn to the curve at $A$ cuts the $y$-axis at $B$.