Skip to content

Course home

Sign up

Integration

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171
Question 143
a.

Given that

∫x2(px+qx)dx=12x4+14x52+C \int x^2 \left(px + \frac{q}{\sqrt{x}}\right) dx = \frac{1}{2}x^4 + 14x^{\frac{5}{2}} + C ∫x2(px+x​q​)dx=21​x4+14x25​+C

find the values of p p\,p and qqq.

[5]
b.

Given that k>1 k>1\,k>1 and

∫1kx2(2x+35x)dx=6668 \int_1^k x^2 \left(2x + \frac{35}{\sqrt{x}}\right) dx=6668 ∫1k​x2(2x+x​35​)dx=6668

find kkk.

[3]
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