If the function f : [0,8] to R is differ...

If the function `f : [0,8] to R` is differentiable, then for `0 < alpha <1 < beta < 2 , int_0^8 f(t) dt ` is equal to (a) `3[alpha^3f(alpha^2)+beta^2f(beta^2)]` (b) `3[alpha^3f(alpha)+beta^2f(beta)]` (c) `3[alpha^3f(alpha^2)+beta^2f(beta^3)]` (d) `3[alpha^2f(alpha^3)+beta^2f(beta^3)]`

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