If `{F(x)}^(101)=int_0^x(F(t))^(100)(dt)/(1+sint),` then find `F(x)`

If {F(x)}^(101)=int_(0)^(x)(F(t))^(100)(dt)/(1+sin t), then find F(x)

If f(x)=int_(1)^(x)(ln t)/(1+t)dt, then

If int_(0)^(x^(2)(1+x))f(t)dt = x then find f(2)

If int_(0)^(x)f(t)dt = x^(2)-int_(0)^(x^(2))(f(t))/(t)dt then find f(1) .

If f(x) =int_(0)^(x) {f(t)}^(-1)dt, " and " int_(0)^(1) {f(t}^(-1)dt=sqrt(2) , then f(x)=

If f(x) = int_(0)^(x)t sin t dt , then f'(x) is

If f(x)=int_0^x (sint)/(t)dt,xgt0, then

A function f is continuous for all x (and not everywhere zero) such that f^(2)(x)=int_(0)^(x)f(t)(cost)/(2+sint)dt . Then f(x) is