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Question 519

In signal processing, the instantaneous power P P\,P of a specific modulated wave relative to its phase ϕ \phi\,ϕ is modeled by the function:

P(ϕ)=(5cos⁡ϕ−2sin⁡ϕ)2 P(\phi) = (5\cos \phi - 2\sin \phi)^2 P(ϕ)=(5cosϕ−2sinϕ)2

Determine the indefinite integral of the power function with respect to the phase, giving your answer in its simplest form:

∫P(ϕ) dϕ \int P(\phi) \, d\phi ∫P(ϕ)dϕ
[6]
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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