Finding $\min f(x)$ where $f(x)=\int_0^1 |t-x|t\,dt \quad \forall x \in \mathbb{R}$
102764
Let $f(x)=\int_0^1|t-x|t~dt$ for all real $x$. Sketch the graph of $f(x)$, what is the minimum value of $f(x)$
11453
Find a real function $f:\mathbb{R}\to\mathbb{R}$ such that $f(f(x)) = -x$?
117595
Minimum Modulus Principle for a constant fuction in a simple closed curve
27738
Gradient of $a^T X b$ with respect to $X$
26617
Minimum value of $ f(x,y,z)=\left(x+\frac{1}{y}\right)^2+\left(y+\frac{1}{z}\right)^2+\left(z+\frac{1}{x}\right)^2. $
3885
Maximum and minimum of of $f(x)=|x-1|+|x-2|+|x-3|$
44653
$(\int f_1d\mu)^2+\cdots+(\int f_nd\mu)^2\leq(\int \sqrt{f_1^2+\cdots+f_n^2}d\mu)^2$
20904
Finding derivative of this integral function.
64339
Find $f$ where $f'(x) = f(1+x)$
154247
Proving $f(x)$ attains $\max$ or $\min$ when $f(x)\to0$ as $|x|\to\infty$.
34398
Prove $\left| \int_a^b f(t) dt \right| \leq \int_a^b \left| f(t) \right| dt$
149739
Prove: $f(t)\leq t+1$
78733
Finding the density for $\min\{X, Y\}$
123604
determining an integral using only derivative properties of two functions
64836
Functions that are always less than their derivatives
11744
Maximum and minimum of $f(x)=\cos(\sin(x))-\sin(\cos(x))$
67565
If $\int^x_0 f (t) dt =x+ \int^1_x t f (t) dt$, find value of $f(1)$