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1.11 H: Integration

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Question 5
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

1.11 H: Integration Questions

  1. A Level
  2. /Maths
  3. /1.11 H: Integration

480 exam-style questions on AQA A Level Maths 1.11 H: Integration, covering 1.11.1 Fundamental Theorem of Calculus, 1.11.2 Integrating standard functions, 1.11.3 Definite integrals and areas, 1.11.4 Integration as the limit of a sum (A-level only), 1.11.5 Integration by substitution and by parts (A-level only), 1.11.6 Integration using partial fractions (A-level only), 1.11.7 Differential equations with separable variables (A-level only), and 1.11.8 Interpreting solutions of differential equations (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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