(i)[7]
Find the coordinates for $A$ and $B$.
(ii)[4]
Find $\int y \, dx$ and hence determine the area of the shaded region.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram illustrates a section of the curve $y = -x^2 + 8x - 10$ that goes through the points $A$ and $B$. The curve reaches a maximum at $A$, and the gradient of line $BA$ is $2$.