Minimum value achieved by a specific integral
91775
Show that $\int_0^1 f^2(x)dx\geq 3$, if $f:[0,1]\to \mathbb{R}$ is an integrable function s.t. $\int_0^1 f(x)dx=\int_0^1 xf(x)dx=1$
9820
Application of maximum modulus principle
135813
Soving a Complex Integral along a circle
142854
Convergence of Integrals - A Problem
139742
Bounding the integral $\int_{2}^{x} \frac{\mathrm dt}{\log^{n}{t}}$
117595
Minimum Modulus Principle for a constant fuction in a simple closed curve
88580
Finding the maximum value of $\int_0^1 f^3(x)dx$
37337
Minimizing a functional with a free boundary condition
129399
Maximum module principle
155006
Upper bound and lower bound of an integral
32270
Integral depending on a parameter
21986
What is the minimum value of $(1 + a_1)(1 + a_2). . .(1 + a_n)$?
34888
An MCQ for finding the extremal of the functional $J = \int_{a}^{b} F(x, y, y^{'})$
10585
Does a polynomial that's bounded below have a global minimum?
103744
Minimal $ab$ for Rational Number $a/b$ in an Interval
131168
Minimizing $\cot^2 A +\cot^2 B + \cot^2 C$ for $A+B+C=\pi$
80952
A difficult integral evaluation problem