Let `f:R to R` be a differentiable function and `f(1)=4` and `f'(1)=2`, then the value of `lim_(x to 1) int_(4)^(f(x))(2t)/(x-1)dt` is -

Let f : R to R be a differentiable function and f(1) = 4 , then the value of lim_(x to 1) int_4^(f(x)) (2t)/(x - 1) dt is :

Let f : R to R be a differentiable function and f(1) = 4 . Then, the value of lim_(x to 1)int_(4)^(f(x))(2t)/(x-1)dt is :

Let f : R to R be a differentiable function and f(1) = 4 . Then, the value of lim_(x to 1)int_(4)^(f(x))(2t)/(x-1)dt is :

Let f : R to R be a differentiable function and f (1) = 4. Then the value of lim_( x to 1) int _(4) ^(f (x)) (2t)/(x -1) dt, if f '(1)= 2 is :

Let f : R to R be a differentiable funcation and f (1) = 4 . Then , the value of lim_(xto1) int_(4)^(f(x))(2t)/( x-1) dt is

Let f:R to R be a differentiable function such that f(2)=2 . Then, the value of lim_(xrarr2) int_(2)^(f(x))(4t^3)/(x-2) dt , is

Let f:R to R be a differentiable function such that f(2)=2 . Then, the value of lim_(xrarr2) int_(2)^(f(x))(4t^3)/(x-2) dt , is

Suppose f:R rarr R is a differentiable function and f(1)=4. Then value of (lim)_(x rarr1)(int_(4)^(f(x))(2t))/(x-1)dt is

Let f:R rarr R be a differentiable function having f(2)=6,f'(2)=(1)/(48). Then evaluate lim_(x rarr2)int_(6)^(f(x))(4t^(3))/(x-2)dt