Mathematics 9709 · AS & A Level · Integration

Integration — practice question

A curve is defined by $\frac{dy}{dx} = 3\sqrt{4x + 5}$. The points $(1,9)$ and $(5,a)$ are on the curve.
(main)[5]

Determine the value of $a$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Integrate so as to obtain a form $k(4x+5)^{\tfrac{3}{2}}$” …

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