Skip to content

Course home

Sign up

Integration

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445
Question 36

A sketch of a cubic curve crossing the x-axis at the origin and twice to its right, with both regions between the curve and the axis shaded.

The sketch shows the curve y=kx(x−2)(x−5)y = kx(x - 2)(x - 5)y=kx(x−2)(x−5), where k k\,k is a positive constant.

a.

Write down the values of x x\,x where the curve crosses the x x\,x axis.

[1]
b.

The area of the shaded region is 2536\displaystyle \frac{253}{6}6253​ units2^22. Find the value of kkk.

[8]
Markscheme

Integration Questions

  1. A Level
  2. /Maths
  3. /Integration

411 exam-style questions on Edexcel A Level Maths Integration, covering 13.1 Integrating x^n, 13.2 Indefinite Integrals, 13.3 Finding Functions, 13.4 Definite Integrals, 13.5 Areas under Curves, 13.6 Areas under the x-axis, and 13.7 Areas between curves and lines. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank