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Question 103
a.

Show that

∫k16(6x)dx=48−12k \int_k^{16} \left( \frac{6}{\sqrt{x}} \right) dx = 48-12\sqrt{k} ∫k16​(x​6​)dx=48−12k​
[2]
b.

Hence find the value of k k\,k such that ∫k16(6x)dx=12\displaystyle \int_k^{16} \left( \frac{6}{\sqrt{x}} \right) dx = 12∫k16​(x​6​)dx=12

[2]
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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