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Question 313

The curve C has the parametric equations

x=3cos⁡ty=3sin⁡2t0≤t≤π2 x = 3 \cos t \quad y = 3 \sin 2t \quad 0 \leq t \leq \frac{\pi}{2} x=3costy=3sin2t0≤t≤2π​

A first-quadrant curve arches above the x-axis, with the area between the curve and the x-axis shaded diagonally.

a.

Find the points where the curve meets the x x\,x axis

[3]
b.

Find the area between the curve and the x x\,x axis

[7]
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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