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int0^(3"pi"//2)sin[(2x)/pi]"dxw h e r e"...

`int_0^(3"pi"//2)sin[(2x)/pi]"dxw h e r e"[dot]` denotes the greatest integer function is equal to `pi/2(sin a+sin b)` where `a ,b N` then find the value of `a+b`

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