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Is $\lim\limits_{n \to \infty}\frac{1}{n}\left( \cos{\frac{\pi}{n}} + \cos{\frac{2\pi}{n}} + \ldots + \cos{\frac{n\pi}{n}} \right)$ a Riemann sum?

integrating the secant function, who figured this out?

How to evaluate the following integral using hypergeometric function?

closed form for $\int_0^{\infty}\log^n\left(\frac{e^x}{e^x-1}\right)dx$

$\int_{-\pi/2}^{\pi/2} \frac{\sin^{2012}{x}}{\left(1+ \alpha^x\right)\left(\sin^{2012} {x}+\cos^{2012}{x}\right)}\;{dx} $

What are integrating factors, really?

Integral of $d$ dimension Calculation

Show a detail prove of : $\int_{0}^{1}\int_{0}^{1}\left({x\over 1-xy}\cdot{\ln{x}-\ln{y}\over \ln{x}+\ln{y}}\right)\mathrm dx\mathrm dy=1-2\gamma$

How to solve $\int_0^{\infty} \frac{\log(x+\frac{1}{x})}{1+x^2}dx$?

Best way to integrate Git with Ant?

$ \int_0^\frac{\pi}{2}\ln^n\left(\tan(x)\right)\:dx$

Exact expression of a trigonometric integral

Difference between $\sum$ and $\int$

How to compute $\int_0^{+\infty} \frac{dt}{1+t^4} = \frac{\pi}{2\sqrt 2}.$

New posts in integration

Evaluate $\int_{\Bbb S^n}\int_{\Bbb S^n}|s-t|^{-\lambda}\rm dsdt$

How to evaluate the integral $\int_0^{\pi/2}x^2(\sin x+\cos x)^3\sqrt{\sin x\cos x} \, dx$?

A double sum or a definite integral.

Double integral with Hankel transform

Applications of Ramanujan's Master Theorem

Integral representation of Bessel function $J_1(x)$

Is $\lim\limits_{n \to \infty}\frac{1}{n}\left( \cos{\frac{\pi}{n}} + \cos{\frac{2\pi}{n}} + \ldots + \cos{\frac{n\pi}{n}} \right)$ a Riemann sum?

integrating the secant function, who figured this out?

How to evaluate the following integral using hypergeometric function?

closed form for $\int_0^{\infty}\log^n\left(\frac{e^x}{e^x-1}\right)dx$

$\int_{-\pi/2}^{\pi/2} \frac{\sin^{2012}{x}}{\left(1+ \alpha^x\right)\left(\sin^{2012} {x}+\cos^{2012}{x}\right)}\;{dx} $

What are integrating factors, really?

Integral of $d$ dimension Calculation

Show a detail prove of : $\int_{0}^{1}\int_{0}^{1}\left({x\over 1-xy}\cdot{\ln{x}-\ln{y}\over \ln{x}+\ln{y}}\right)\mathrm dx\mathrm dy=1-2\gamma$

How to solve $\int_0^{\infty} \frac{\log(x+\frac{1}{x})}{1+x^2}dx$?

Best way to integrate Git with Ant?

$ \int_0^\frac{\pi}{2}\ln^n\left(\tan(x)\right)\:dx$

Exact expression of a trigonometric integral

Difference between $\sum$ and $\int$

How to compute $\int_0^{+\infty} \frac{dt}{1+t^4} = \frac{\pi}{2\sqrt 2}.$