Let `f: RvecR` be a differentiable function having `f(2)=6,f^(prime)(2)=1/(48)dot` Then evaluate `("lim")_(xvec2)int_6^(f(x))(4t^3)/(x-2)dt`

Let f:R to R be a differentiable function having f(2)=6,f'(2) =(1)/(12) . Then, lim_(x to 2)overset(f(x))underset(6)int(4t^(3))/(x-2)dt , equals

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 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 continuously differentiable function such that f(2) = 6 and f'(2) = 1/48 * If int_(6)^(f(x)) 4t^(3) dt = (x-2) g(x)" than" lim_( x to 2) g(x) is equal to

if f be a differentiable function such that f(x) =x^(2)int_(0)^(x)e^(-t)f(x-t). dt. Then f(x) =

Let f be a differentiable function satisfying f(x/y)=f(x)-f(y) for all x ,\ y > 0. If f^(prime)(1)=1 then find f(x)dot

LEt f(x) be a differentiable function and f'(4)=5. Then,lim_(x rarr2)(f(4)-f(x^(2)))/(x-2) equals