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Year 12 Methods (Unit 3 & 4) Integration

Applications of integration

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Question 1
23207

A particle moves so that the rate of change of distance \(S\) over time \(t\) is given by \(R = 6\sin t\). If \(S=2\) when \(t = \dfrac{\pi }{3}\), find \(S\) when \(t = \pi \).

\(S=11\)

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