If a continuous function `f` satisfies `int_0^(f(x))t^3dt=x^2(1+x)` for all `x>=0` then `f(2)`

If a continuous function f satisfies int_(0)^(f(x))t^(3)dt=x^(2)(1+x) for all x>=0 then f(2)

If a continous function f satisfies int_0^f(x) t^2 dt=x^2(1+x) for all xge0 then f(2) is equal to

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

A continuous function f(x) satisfies the relation f(x)=e^x+int_0^1 e^xf(t)dt then f(1)=

A continuous function f(x) satisfies the relation f(x)=e^x+int_0^1 e^xf(t)dt then f(1)=

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:RtoR be a continuous function which satisfies f(x)=int_(0)^(x)f(t)dt . Then the value of f(log_(e)5) is

If a continuous function f on [0, a] satisfies f(x)f(a-x)=1, a >0, then find the value of int_0^a(dx)/(1+f(x))

If a continuous function f on [0, a] satisfies f(x)f(a-x)=1, a >0, then find the value of int_0^a(dx)/(1+f(x))