(i)[3]
Find the exact $x$-coordinate of $P$.
(ii)[6]
Show that the curve's equation may be expressed as $y = 5 + 8\sin x - 2\cos 2x$, and use integration to determine the exact area of the shaded region bounded by the curve and the axes.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram displays a section of the curve with equation $y = 4\sin^2 x + 8\sin x + 3$ together with its point of intersection $P$ on the $x$-axis.