Mathematics 9709/32 — May/June 2015

Cambridge A-Level · Pure Mathematics 3 · worked solutions for every part, with the mark scheme

questions

marks

105

minutes

Topics Trigonometry · Integration · Logarithmic and Exponential Functions · Differentiation · Numerical Solution of Equations · Complex Numbers · +3 more

Q13MIntegrationFree sample

Use the trapezium rule with three intervals to estimate the value of

\int_{0}^{\frac{1}{2}\pi} \ln(1 + \sin x) \, dx,

giving your answer correct to 2 decimal places.

The rest of this paper

9 more questions

Q2Logarithmic and Exponential Functions4M
Q3Differentiation · Trigonometry6M
Q4Trigonometry6M
Q5Trigonometry · Numerical Solution of Equations8M
Q6Integration8M
Q7Complex Numbers9M
Q8Algebra10M
Q9Differential Equations10M
Q10Vectors11M

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