0606 P23 - Nov 2020 - Q7 - 11 marks
8225
A curve has equation
\(y=x\cos x.\)
(a) Find \(\dfrac{dy}{dx}\).
(b) Find the equation of the normal to the curve at the point where \(x=\pi\).
(c) Find the exact value of
\(\int_0^{\frac{\pi}{6}} x\sin x\,dx.\)
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