Finding value of definite integral - $f(f(x)) = x$
15409
Calculate $\int_{0}^{1} (x-f(x))^{2016} dx$, given $f(f(x))=x$.
45622
Value of this definite integral $\int_{0}^{\infty} \frac{ \ln(x)}{x^2+2x+4} dx $
34790
Find $f(1)$ from equation $\int_{0}^{x}f(t)dt = x+\int_{x}^{1}tf(t)dt$
44681
Inverse of a function's integral
144146
find a $\int_{x}^{g(x)} f(t)\,dt = 1$
66404
Prove that:$\int_{a}^{b} f(x) dx = b \cdot f(b) - a \cdot f(a) - \int_{f(a)}^{f(b)} f^{-1}(x) dx$
97773
If $f$ is continuous with $f(x) = f(2x),f(1) = 3$, then what is $ \int_{-1}^{1}f(f(x))\,dx$?
17333
Definite Integral $\int_2^4\frac{\sqrt{\log(9-x)}}{\sqrt{\log(9-x)}+\sqrt{\log(3+x)}}dx$
76400
Finding $\int^{\infty}_{0}\frac{\ln^2(x)}{(1-x^2)^2} dx$
3387
Derivative of $f(x)=|x|$
53024
$f(x)f(1/x)=f(x)+f(1/x)$
33598
Deduce function f from integral
53519
Finding $\int_0^1{\frac{x^4(1-x)^4}{1+x^2}}dx$
8829
How to prove $\int_{-\infty}^{+\infty} f(x)dx = \int_{-\infty}^{+\infty} f\left(x - \frac{1}{x}\right)dx?$
115089
Definite Integral: $\int_0^1\frac{x^{2} -1}{\log x}\,dx$
67317
Definite Integral of square root of polynomial
506
Finding $\int x^xdx$