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1.9.27 Integration by substitution (reverse chain rule) (A-level only)

1.9.27 Integration by substitution (reverse chain rule) (A-level only)

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Question 25

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

1.9.27 Integration by substitution (reverse chain rule) (A-level only) Questions

  1. A Level
  2. /Maths
  3. /1.9.27 Integration by substitution (reverse chain rule) (A-level only)

36 exam-style questions on OCR (MEI) A Level Maths 1.9.27 Integration by substitution (reverse chain rule) (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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