Skip to content

Course home

Sign up

Integration

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171
Question 80

The diagram shows part of the graph of y=4x13−2x13\displaystyle y = 4x^{\frac{1}{3}} - \frac{2}{x^{\frac{1}{3}}}y=4x31​−x31​2​

The shaded region is enclosed by the curve, the xxx-axis and the lines x=1x = 1x=1 and x=ax = ax=a, where a>1a > 1a>1

Graph of the curve with the shaded region between x=1 and x=a

Given that the area of the shaded area is 36 square units, find the exact value of aaa.

[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