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3.7 Numerical methods (A-level only)

3.7 Numerical methods (A-level only)

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Question 48
a.

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

∫0π2cos⁡(x2)dx\displaystyle \int_0^{\pi} 2\cos\left(\frac{x}{2}\right)dx∫0π​2cos(2x​)dx

Give your answer to four decimal places.

[4]
b.

Find the exact value of ∫0π2cos⁡(x2)dx\displaystyle\int_0^{\pi} 2\cos\left(\frac{x}{2}\right)dx∫0π​2cos(2x​)dx.

[2]
c.

Hence find the percentage error in the estimate found in part (a), giving your answer to three significant figures.

[1]
Markscheme

3.7 Numerical methods (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.7 Numerical methods (A-level only)

125 exam-style questions on CCEA A Level Maths 3.7 Numerical methods (A-level only), covering 3.7.1 Numerical methods (A-level only), 3.7.2 Numerical methods (A-level only), 3.7.3 Numerical methods (A-level only), and 3.7.4 Numerical methods (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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