Find the value of definite integral:int(...

Find the value of definite integral:`int_(0)^(pi) ((pit)/(2)-(t^(2))/(2))dt`

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`underset(0) overset(pi)int ((pit)/(2)-(t^(2))/(2))dt`
`=((pi)/(2)((t^(2))/(2))-(t^(3))/(6))_(0)^(pi)`
`=(pi^(3))/(4)-(pi^(3))/(6)=(pi^(3))/(12)`

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