Evaluate `(lim)_(xvec4)int_4^x((4t-f(t)))/((x-4))dt`

lim_(x rarr4)int(4t-f(t))/(x-4)dt is equal to:

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 :

int(t^(2)+1)/(t^(4))dt

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

The value of lim_(x rarr0)int_(0)^(x)(t ln(1+t))/(t^(4)+4)dt

The value of (lim)_(x->0)1/(x^3)int_0^x(t ln(1+t))/(t^4+4)dt is a. 0 b. 1/(12) c. 1/(24) d. 1/(64)

Evaluate lim_(x->t) (x^(2)-t^(2))/(x^(4)-t^(4)

lim_(x rarr1^(+))int_(x)^(4)(sqrt(t)+3)/(sqrt(t-1))dt