Let `f: RvecR` be a continuous function which satisfies `f(x)=` `int_0^xf(t)dtdot` Then the value of `f(1n5)` is______

Let f:R rarr R be a continous function which satisfies f(x)= int _(0)^(x) f (t) dt . Then , the value of f(ln5) is ______.

Let f:R to R be a function which satisfies f(x)=int_(0)^(x) f(t) dt .Then the value of f(In5), is

A continuous function f(x) satisfies the relation f(x)=e^(x)+int_(0)^(1)e^(x)f(t)dt then f(1)=

Let f be a continuous function on R and satisfies f(x)=e^(x)+int_(0)^(1)e^(x)f(t)dt, then which of the following is(are) correct?

Let: f:[0,3]vecR be a continuous function such that int_0^3f(x)dx=3. If I=int_0^3(xf(x)+int_0^xf(t)dt)dx , then value of I is equal to

Let f(x) be an odd continuous function which is periodic with period 2. if g(x)=int_(0)^(x) f(t)dt , then

Suppose a continuous function f:[0,infty)rarrR satisfies f(x)=2int_0^xtf(t)dt+1 for all xge0 Then f(1) equals

Let f be a continuous function satisfying f(x + y) = f (x) f( y) (x, y in R) with f(1) = e then the value of int(xf(x))/(sqrt(1+f(x)))dx is

Let f:R in R be a continuous function such that f(1)=2. If lim_(x to 1) int-(2)^(f(x)) (2t)/(x-1)dt=4 , then the value of f'(1) is