Skip to content

Course home

3.8 Numerical Methods (A-level only)

3.8 Numerical Methods (A-level only)

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109
Question 96
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

3.8 Numerical Methods (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.8 Numerical Methods (A-level only)

129 exam-style questions on WJEC A Level Maths 3.8 Numerical Methods (A-level only), covering 3.8.1 Numerical Methods (A-level only), 3.8.2 Numerical Methods (A-level only), 3.8.3 Numerical Methods (A-level only), 3.8.4 Numerical Methods (A-level only), and 3.8.5 Numerical Methods (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank