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Let f:[0,4]rarrR be a differentiable fun...

Let `f:[0,4]rarrR` be a differentiable function then for some `alpha`, `beta` in `(0,2)` ` int_0^4 f(t)dt`

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Let f:[0,4]rarr R be a differentiable function then for some alpha,beta in (0,2)int_(0)^(4)f(t)dt

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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