Skip to content

Course home

Sign up

1.9.28 Integration by substitution (other cases) (A-level only)

MediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445
Question 45

Use the substitution x=3sin⁡θx = 3 \sin \thetax=3sinθ to find the exact value of

∫323221(9−x2)32 dx \int_{\frac{3}{2}}^{\frac{3\sqrt{2}}{2}} \frac{1}{(9 - x^2)^{\frac{3}{2}}} \, dx ∫23​232​​​(9−x2)23​1​dx
[6]
Markscheme

1.9.28 Integration by substitution (other cases) (A-level only) Questions

  1. A Level
  2. /Maths
  3. /1.9.28 Integration by substitution (other cases) (A-level only)

59 exam-style questions on OCR (MEI) A Level Maths 1.9.28 Integration by substitution (other cases) (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank