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11.4 Reverse Chain Rule

EasyMedium
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Question 5

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

11.4 Reverse Chain Rule Questions

  1. A Level
  2. /Maths
  3. /11.4 Reverse Chain Rule

8 exam-style questions on Edexcel A Level Maths 11.4 Reverse Chain Rule. Each one has a worked solution and a mark scheme showing where the marks go.

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