Product derivative with a triple angle

Product derivative with a triple angle

Secondary 4

6 marks

Original parallel to supplied A Math integration references

Differentiate \(x\cos3x\) with respect to \(x\).[2]
Hence evaluate \(\displaystyle\int_0^{\pi/6}x\sin3x\,\mathrm{d}x\).[4]

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Answer:(i) \(\cos3x-3x\sin3x\) (ii) \(\dfrac19\)

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