Skip to content

Course home

3.6 Integration (A-level only)

3.6 Integration (A-level only)

EasyMediumHard
12345678910111213141516171819202122232425262728293031323334353637383940414243444546
Question 8
a.

Find ∫x2sin⁡2x dx\int x^2 \sin 2x \, dx∫x2sin2xdx

[3]
b.

Hence solve the differential equation

dydt=(tsin⁡ty)2 \frac{dy}{dt} = \left(\frac{t \sin t}{y}\right)^2 dtdy​=(ytsint​)2

giving your answer in the form yn=f(t)y^n = f(t)yn=f(t) where nnn is an integer.

[6]
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