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1.9.24 Integrate e^kx, 1/x, sin kx, cos kx (A-level only)

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12
Question 1
a.

Show that

cos⁡3x≡4cos⁡3x−3cos⁡x \cos 3x \equiv 4\cos^3 x - 3\cos x cos3x≡4cos3x−3cosx
[4]
b.

Hence find, using algebraic integration,

∫0π6cos⁡3x dx \int_{0}^{\frac{\pi}{6}} \cos^3 x \, dx ∫06π​​cos3xdx
[4]
Markscheme

1.9.24 Integrate e^kx, 1/x, sin kx, cos kx (A-level only) Questions

  1. A Level
  2. /Maths
  3. /1.9.24 Integrate e^kx, 1/x, sin kx, cos kx (A-level only)

31 exam-style questions on OCR (MEI) A Level Maths 1.9.24 Integrate e^kx, 1/x, sin kx, cos kx (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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