A continuous real function `f` satisfies `f(2x)=3(f(x)AAx in RdotIfint_0^1f(x)dx=1,` then find the value of `int_1^2f(x)dx`

Let f be a one-to-one continuous function such that f(2)=3a n df(5)=7.G i v e nint_2^5f(x)dx=17 , then find the value of int_3^7f^(-1)(x)dx

Evaluate: int_(-1)^4f(x)dx=4a n dint_2^4(3-f(x))dx=7, then find the value of int_2^(-1)f(x)dxdot

If f(0)=1,f(2)=3,f^'(2)=5 ,then find the value of int_0^1xf^('')(2x)dx

Let f: R->R be a continuous function and f(x)=f(2x) is true AAx in Rdot If f(1)=3, then the value of int_(-1)^1f(f(x))dx is equal to (a)6 (b) 0 (c) 3f(3) (d) 2f(0)

If f is polynomial function satisfying 2+f(x)f(y)=f(x)+f(y)+f(x y)AAx , y in R and if f(2)=5, then find the value of f(f(2))dot

If f is polynomial function satisfying 2+f(x)f(y)=f(x)+f(y)+f(x y)AAx , y in R and if f(2)=5, then find the value of f(f(2))dot

If f(x)=min(|x|,1-|x|,1/4)AAx in R , then find the value of int_(-1)^1f(x)dxdot

Determine the function satisfying f^2(x+y)=f^2(x)+f^2(y)AAx ,y in Rdot

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))

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