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Question 131

The curve C has the parametric equations

x=10cos⁡ty=6sin⁡2t0≤t≤π2 x = 10 \cos t \quad y = 6 \sin 2t \quad 0 \leq t \leq \frac{\pi}{2} x=10costy=6sin2t0≤t≤2π​

The curve C, defined by x = 10 cos t and y = 6 sin 2t for 0 ≤ t ≤ π/2, is shown on x and y axes.

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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