A function satisfying `int_0^1f(tx)dt=nf(x)`, where `x>0` is

Let f:R -(0,oo) be a real valued function satisfying int_0^x tf(x-t) dt =e^(2x)-1 then f(x) is

Let f:R ->(0,oo) be a real valued function satisfying int_0^x tf(x-t) dt =e^(2x)-1 then find f(x) ?

Let f:R ->(0,oo) be a real valued function satisfying int_0^x tf(x-t) dt =e^(2x)-1 then find f(x) ?

Let f(x) is differentiable function satisfying 2int_(1)^(2)f(tx) dt = x+2, AA x in R Then int_(0)^(1)(8f(8x)-f(x)-21x) dx equal to

Let f:(0,oo)vec(0,oo) be a differentiable function satisfying, x int_0^x (1-t)f(t)dt=int_0^x tf(t)dtx in R^+a n df(1)=1. Determine f(x)dot

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

Let f:(0,oo)rarr(0,oo) be a differentiable function satisfying,x int_(x)^(x)(1-t)f(t)dt=int_(0)^(x)tf(t)dtx in R^(+) and f(1)=1 Determine f(x)

Let f be a differentiable function satisfying int_(0)^(f(x))f^(-1)(t)dt-int_(0)^(x)(cost-f(t)dt=0 and f((pi)/2)=2/(pi) The value of lim_(x to 0)(cosx)/(f(x)) is equal to where [.] denotes greatest integer function

Let f be a differentiable function satisfying int_(0)^(f(x))f^(-1)(t)dt-int_(0)^(x)(cost-f(t)dt=0 and f((pi)/2)=2/(pi) The value of lim_(x to 0)(cosx)/(f(x)) is equal to where [.] denotes greatest integer function

Let f be a differentiable function satisfying int_(0)^(f(x))f^(-1)(t)dt-int_(0)^(x)(cost-f(t)dt=0 and f((pi)/2)=2/(pi) The value of lim_(x to 0)(cosx)/(f(x)) is equal to where [.] denotes greatest integer function