Mathematics 9709 · AS & A Level · Integration

Integration — practice question

The diagram illustrates the curve with equation $y = 5x^2 - 20x$ together with the straight line with equation $y = x - 16$. The $x$-coordinates of the intersection points of the curve and line are 1 and 16.
(main)[5]

Find the area of the shaded region enclosed by the curve and the line.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Try integrating both curves and then subtracting the areas.

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