Skip to content

Course home

Sign up

Integration

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195
Question 59

The graph shows part of the curve C C\,C with equation y=x3−6x2+9xy = x^3 - 6x^2 + 9xy=x3−6x2+9x

Axes show the curve y = x³ − 6x² + 9x through the origin, with a shaded region R between the curve and the x-axis up to the minimum turning point labelled k.

The curve has a minimum turning point at k=3k=3k=3. Region R R\,R is bounded by the curve CCC, xxx-axis and the line with equation x=kx = kx=k.

Show that the area of R R\,R is 274\displaystyle \frac{27}{4}427​

[4]
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