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Question 441

The curve C has the parametric equations

x=acos⁡ty=bsin⁡2t0≤t≤π2 x = a \cos t \quad y = b \sin 2t \quad 0 \leq t \leq \frac{\pi}{2} x=acosty=bsin2t0≤t≤2π​

where a a\,a and b b\,b are positive constants.

A first-quadrant graph of curve C on unnumbered x and y axes, with diagonal shading between the curve and the x-axis.

a.

The curve meets the x x\,x axis at (0,0)(0, 0)(0,0) and (6,0)(6, 0)(6,0). Find the value of aaa

[3]
b.

The area between the curve and the x x\,x axis is 16. Find the value of bbb

[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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