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Question 21
a.

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

∫0π6sin⁡(x2) dx \int_0^{\pi} 6 \sin\left(\frac{x}{2}\right) \, dx ∫0π​6sin(2x​)dx
[5]
b.

Find the exact solution to

∫0π6sin⁡(x2) dx \int_0^{\pi} 6 \sin\left(\frac{x}{2}\right) \, dx ∫0π​6sin(2x​)dx
[4]
c.

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

[2]
Markscheme

Integration Questions

  1. A Level
  2. /Maths
  3. /Integration

864 exam-style questions on Edexcel A Level Maths Integration, covering 11.1 Integrating Standard Functions, 11.2 Integrating f(ax + b), 11.3 Using Trigonometric Identities, 11.4 Reverse Chain Rule, 11.5 Integration by Substitution, 11.6 Integration by Parts, 11.7 Partial Fractions, 11.8 Finding Areas, 11.9 The Trapezium Rule, 11.10 Solving Differential Equations, and 11.11 Modelling with Differential Equations. Each one has a worked solution and a mark scheme showing where the marks go.

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