Skip to content

Course home

Sign up

3.6 Integration (A-level only)

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217
Question 156

Given that k k\,k is a positive constant,

a.

find

∫8x2x2+k dx \int \frac{8x}{2x^2 + k} \, dx ∫2x2+k8x​dx
[2]
b.

Given also that

∫148x2x2+k dx=ln⁡81 \int_{1}^{4} \frac{8x}{2x^2 + k} \, dx = \ln 81 ∫14​2x2+k8x​dx=ln81

find the value of kkk.

[5]
Markscheme

3.6 Integration (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.6 Integration (A-level only)

363 exam-style questions on CCEA A Level Maths 3.6 Integration (A-level only), covering 3.6.1 Integration (A-level only), 3.6.2 Integration (A-level only), 3.6.3 Integration (A-level only), 3.6.4 Integration (A-level only), 3.6.5 Integration (A-level only), 3.6.6 Integration (A-level only), and 3.6.7 Integration (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank