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Question 119

Given that a a\,a and k k\,k are constants

a.

Find ∫(ax3+kx)dx\displaystyle \int \left( \frac{a}{x^3} + kx \right) dx∫(x3a​+kx)dx Giving your answer in its simplest form.

[3]
b.

Find the value of aaa, in terms of kkk, such that ∫12(ax3+kx)dx=12\displaystyle \int_1^2 \left( \frac{a}{x^3} + kx \right) dx = 12∫12​(x3a​+kx)dx=12

[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.

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