#2015_ KVPY 2015 preparations-4

Calculus Level 3

Find the value of the integral:\[\int _{ 1 }^{ 3 }{ \left[ x \right] \cos { \left( \frac { \pi }{ 2 } \left( x-\left[ x \right] \right) \right) dx } } \] where \(\left[ x \right] \) denotes the largest integer not exceeding \(x\) .

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