1.

Let fbe a continuous function satisfying int_(- pi)^(t^2) (f (x) + x^(2) ) dx= pi + (4)/(3) t^(3) for allt, then f(pi^(2) //4) is equal to

Answer»

`PI - (pi^4)/( 8)`
`(pi)/(2) - (pi/4)^(4)`
`(pi)/(2) - (pi/4)^2`
`pi- (pi^6)/( 16)`

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