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4.6 Integration (A-level only)

4.6 Integration (A-level only)

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Question 45
a.

Express 1(1+4x)(1−x)\frac{1}{(1+4x)(1-x)}(1+4x)(1−x)1​ in partial fractions.

[3]
b.

Hence find the solution of the differential equation

(1+4x)(1−x)dydx=tan⁡y (1+4x)(1-x)\frac{dy}{dx} = \tan y (1+4x)(1−x)dxdy​=tany

for the interval −14<x<1-\frac{1}{4} < x < 1−41​<x<1, given that y=π2y = \frac{\pi}{2}y=2π​ when x=0x = 0x=0.

Give your answer in the form sin⁡ny=f(x)\sin^n y = f(x)sinny=f(x) where nnn is an integer to be found.

[6]
Markscheme

4.6 Integration (A-level only) Questions

  1. A Level
  2. /Maths
  3. /4.6 Integration (A-level only)

92 exam-style questions on WJEC A Level Maths 4.6 Integration (A-level only), covering 4.6.1 Integration (A-level only) and 4.6.2 Integration (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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