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0606 P11 - Nov 2019 - Q12 - 8 marks
8332

A curve is such that

\(\frac{d^2y}{dx^2}=2\sin\left(x+\frac{\pi}{3}\right).\)

Given that the curve has a gradient of \(5\) at the point \(\left(\frac{\pi}{3},\frac{5\pi}{3}\right)\), find the equation of the curve.

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