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1.12 I: Numerical methods (A-level only)

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Question 19
a.

Use the trapezium rule with 3 strips to estimate the value of

∫034ex3 dx \int_0^3 4 e^{\frac{x}{3}} \, dx ∫03​4e3x​dx
[5]
b.

Find the exact solution to

∫034ex3 dx \int_0^3 4 e^{\frac{x}{3}} \, dx ∫03​4e3x​dx
[4]
c.

Hence find the percentage error in the answer to part a.

[2]
Markscheme

1.12 I: Numerical methods (A-level only) Questions

  1. A Level
  2. /Maths
  3. /1.12 I: Numerical methods (A-level only)

125 exam-style questions on AQA A Level Maths 1.12 I: Numerical methods (A-level only), covering 1.12.1 Locating roots by change of sign (A-level only), 1.12.2 Iterative methods and Newton-Raphson (A-level only), 1.12.3 Numerical integration (A-level only), and 1.12.4 Numerical methods in context (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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