Prove a integral equation
72039
Compute $\int_0^\infty\frac{\cos(xt)}{1+t^2}dt$
1588
How to prove $\int_{-\pi}^\pi (f(x))^2dx\le \int_{-\pi}^\pi (f'(x))^2dx$
136966
Riemann integral proof $\int^b_a f(x) \, dx>0$
123695
Infinite series: Integral test( Proof )
73240
How do I prove this form of mean value theorem for integral?
34907
Show that $\int_{0}^{1}\{P(x)\}^{2}\,dx = (n + 1)^{2}\left(\int_{0}^{1}P(x)\,dx\right)^{2}$
40564
Prove that $u(x,t)=\int_{-\infty}^{\infty}c(w)e^{-iwx}e^{-kw^2t}dw\rightarrow 0$ if $x\rightarrow \infty$
114734
Prove that $\frac{1}{2\pi i}\int_\mathcal{C} |1+z+z^2+\cdots+z^{2n}|^2~dz =2n$ where $\mathcal{C}$ is the unit circle
8358
Prove $\int_{0}^{\pi/2} \ln \left(x^{2} + (\ln\cos x)^2 \right) \, dx=\pi\ln\ln2 $
34790
Find $f(1)$ from equation $\int_{0}^{x}f(t)dt = x+\int_{x}^{1}tf(t)dt$
24785
How prove this equation $\alpha=\aleph_{0}\alpha$
1516
How did you prove this integral?
46244
solve the integral equation 2
61162
Show that $\left(\int_0^1 f(x)\,dx\right)^2\leq2\int_0^1x\, f(x)^2\,dx $
128171
Proof for Integral Inequality $|\int f| \le \int |f|$ - is it sufficient enough?
124026
Prove $\int^\infty_0\frac x{e^x-1}dx=\frac{\pi^2}{6}$
69871
How to prove Poincaré-like inequality for the integral over the boundary?