# #2015_ KVPY 2015 preparations-4

Calculus Level 4

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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