(a)[2]
Find the exact $x$-coordinate of point $A$.
(b)[3]
Find the exact gradient at $A$ on the curve.
(c)[5]
Find the exact area enclosed by the shaded region.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram displays a segment of the curve with equation $y = 4\sin^2 x + 8\sin x + 3$, where $x$ is measured in radians. The curve meets the $x$-axis at point $A$, and the shaded region is enclosed by the curve together with the lines $x = 0$ and $y = 0$.