How do we prove such integral?
21240
Prove $\int_0^{\infty}\! \frac{\mathbb{d}x}{1+x^n}=\frac{\pi}{n \sin\frac{\pi}{n}}$ using real analysis techniques only
87149
Prove directly from the definition of the Ito's integral
52902
How to prove $\int_{\mathbb R^d}{(1+|x|^{2})^{-m}dx}$ is integrable?
40564
Prove that $u(x,t)=\int_{-\infty}^{\infty}c(w)e^{-iwx}e^{-kw^2t}dw\rightarrow 0$ if $x\rightarrow \infty$
70715
How do I prove $\int_0^\pi\frac{(\sin nx)^2}{(\sin x)^2}dx = n\pi$?
8358
Prove $\int_{0}^{\pi/2} \ln \left(x^{2} + (\ln\cos x)^2 \right) \, dx=\pi\ln\ln2 $
128189
Proving Integral Inequality
79686
How can I prove these statements?
37015
Prove $\int_X |f|^p=p\int^{\infty}_{0} t^{p-1}\mu({x: |f(x)>t}) dt\,$
69871
How to prove Poincaré-like inequality for the integral over the boundary?
44737
$ \int_{-\infty}^{\infty} x^4 e^{-ax^2} dx$
5402
Prove or the disprove the existence of a limit of integrals
107146
How can i prove this problem about Cauchy integral?
124445
Integral of the form $\int_{0}^{\infty}e^{-ax}e^{-x^{4}}dx$
73489
How is the Integral of $\int_a^bf(x)~dx=\int_a^bf(a+b-x)~dx$
64314
Proof of certain Gaussian integral form
40936
How prove this integral inequality