Given, $f(x)=f(2x)$ evaluate $\int_{-1}^1{f(f(x))}dx$
97773
If $f$ is continuous with $f(x) = f(2x),f(1) = 3$, then what is $ \int_{-1}^{1}f(f(x))\,dx$?
59063
$f(f(x))=f(x)$ question
98255
Find $f(x)$ such that $f(f(x)) = x^2 - 2$
62055
Solve $\frac{d}{dx}f(x)=f(x-1)$
144146
find a $\int_{x}^{g(x)} f(t)\,dt = 1$
95068
Integral of $\frac{1}{2x}$
107351
Evaluate the improper integral $\int_{0}^{\infty}{f(x)-f(2x)\over x}dx$, where $\lim_{x \to \infty} f(x) = L$
147479
Evaluate $\int \frac{2-3x}{2+3x}\sqrt\frac{1+x}{1-x}dx$
154264
$f \in C[-1,1]$, Prove ${\lim_{h \to 0^+}}{\int_{-1}^1 \frac{h}{h^2+x^2}f(x)\,dx} = \pi f(0)$
100401
Evaluate $\int \frac{1}{(x^2+1)^2}dx$
44681
Inverse of a function's integral
66404
Prove that:$\int_{a}^{b} f(x) dx = b \cdot f(b) - a \cdot f(a) - \int_{f(a)}^{f(b)} f^{-1}(x) dx$
138481
$f(x)=x/1$ is not injective?
142682
Find $f(x)$ where $ f(x)+f\left(\frac{1-x}x\right)=x$
104394
What does $\int_{a}^{b} f(x)$ mean?
88670
Evaluating $\int \frac{1}{{x^4+1}} dx$
15409
Calculate $\int_{0}^{1} (x-f(x))^{2016} dx$, given $f(f(x))=x$.