Mathematics 9709 · AS & A Level · Integration

Integration — practice question

The diagram depicts a section of the curve $y = \sin \sqrt{x}$. This section crosses the $x$-axis at the point where $x = a$.
(a)[1]

State the exact value taken by $a$.

(b)[7]

With the substitution $u = \sqrt{x}$, determine the exact area of the shaded region in the first quadrant enclosed by this part of the curve and the $x$-axis.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: State that $a=\pi^2$.

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI