QCEVault

Integration techniques — Question 206

Original QCE Vault practice · 5 marks

Q206 · Practice questionTechnology-freeComplex familiar5 marks

QUESTION 206 (5 marks)

A game designer compares two elevation profiles, y=sin⁡xy=\sin x and y=cos⁡xy=\cos x, shown on 0≤x≤π/20\le x\le\pi/2.
Sine solid and cosine dashed on [0,pi/2], crossing at pi/4.
a)
Calculate ∫0π/2(sin⁡x−cos⁡x) dx\int_0^{\pi/2}(\sin x-\cos x)\,dx.
[2 marks]
b)
Determine total area between the curves and explain the difference.
[3 marks]
Question linkSyllabus coverage

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