(a)[6]
Determine the exact value of $a$.
(b)[5]
The area bounded by the $x$-axis and the curve is revolved through $2\pi$ radians about the $x$-axis.\n\nFind the exact volume of the solid formed.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The graph depicts the curve $y = \cos x\sqrt{\sin 2x}$ for $0 \leq x \leq \tfrac{1}{2}\pi$. The curve reaches a maximum at $M$, where $x = a$.
Worked solution & mark scheme
This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The derivative of $\sqrt{\sin 2x}$ is found as $\dfrac{2\cos2x}{2\sqrt{\sin2x}}$” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI