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Question 78

Given that k k\,k is a constant

a.

Find ∫(kx2+2x)dx\displaystyle \int \left( \frac{k}{x^2} + 2x \right) dx∫(x2k​+2x)dx Giving your answer in its simplest form.

[3]
b.

Find the value of k k\,k such that ∫12(kx2+2x)dx=7\displaystyle \int_1^2 \left( \frac{k}{x^2} + 2x \right) dx = 7∫12​(x2k​+2x)dx=7

[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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