Finding $f(x)$ from integral equation
33598
Deduce function f from integral
21377
Solve integral equation by iteration
72769
How find this function $xf(x^2)=f(x),x>0$
98757
Solving an integral with substitution method
104263
How to show that $f'(x)<2f(x)$
44681
Inverse of a function's integral
49211
Solving $f(x+y) = f(x)f(y)f(xy)$
104145
Finding the value of $3(\alpha-\beta)^2$ if $\int_0^2 f(x)dx=f(\alpha) +f(\beta)$ for all $f$
122843
Finding $\int_0^\infty \frac{\cos(ax)-\cos(bx)}{x}dx$
123604
determining an integral using only derivative properties of two functions
13248
How to obtain $f(x)$, if it is known that $f(f(x))=x^2+x$?
127558
If $f(x)=x-\int^{\frac{\pi}{2}}_0f(x)\sin(x)dx$ find the explicit function for $f(x)$ in its simplest form
74100
How do you solve $f'(x) = f(f(x))$?
130670
Solving Integrals
106284
Establishing a Basis for $F[x]/(f(x))$
65418
Solve these functional equations: $\int_0^1\!{f(x)^2\, \mathrm{dx}}= \int_0^1\!{f(x)^3\, \mathrm{dx}}= \int_0^1\!{f(x)^4\, \mathrm{dx}}$
53224
$e^{-x}f(x)=2+ \int_0^x\sqrt{t^4+1}dt$ function for finding the inverse