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1.11 H: Integration

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Question 21
a.

Find ∫x2sin⁡2x dx\int x^2 \sin 2x \, dx∫x2sin2xdx

[3]
b.

Hence solve the differential equation

dydt=(tsin⁡ty)2 \frac{dy}{dt} = \left(\frac{t \sin t}{y}\right)^2 dtdy​=(ytsint​)2

giving your answer in the form yn=f(t)y^n = f(t)yn=f(t) where nnn is an integer.

[6]
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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