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Prove $ \int_{5\pi/36}^{7\pi/36} \ln (\cot t )dt +\int_{\pi/36}^{3\pi/36} \ln (\cot t )dt = \frac49G $

Finding $\int_0^{\frac{\pi}{2}} \frac{x}{\sin x} dx $

Is there an integral for $\frac{\pi}{\mathrm{G}}$?

How to Evaluate $ \sum_{n=1}^{\infty} \frac{(-1)^n}{n} \sum_{k=1}^{n}\frac{1}{4k-1} $

Conjecture $\sum\limits_{n=0}^{\infty}{2n \choose n}^22^{-4n} \frac{n(6n-1)}{(2n-1)^2(2n+1)}=\frac{2C}{\pi} $

How do I evaluate $\sum_{n=1}^{\infty}\frac{(-1)^{n+1}H_n}{2n+1}?$

Compute this following integral without Fourier series : $\int_0^{\pi/4}x\ln(\tan x)dx$

Evaluate $\int_{0}^{\frac{\pi}{4}}\ln(\cos(t))dt$

Evaluate $\int_{-\pi/4}^{\pi/4}\frac{x}{\sin x}\mathrm{d}x$

Integral $I=\int_0^\infty \frac{\ln(1+x)\ln(1+x^{-2})}{x} dx$

Relationship between Catalan's constant and $\pi$

Prove the integral evaluates to $\frac{K}{\pi}$

A double series yielding Riemann's $\zeta$

Catalan constant's integral representation

How many ways to deal with the integral $\int_{0}^{\frac{\pi}{4}} \ln (\tan x) d x$ and $\int_{0}^{\frac{\pi}{4}} \ln (\sin x) d x$?

New posts in catalans-constant

Formulae for Catalan's constant.

How to find $\int_{0}^{\pi/2} \log ({1+\cos x}) dx$ using real-variable methods?

Computation of $\int_0^1 \frac{\arctan^2 x\ln x}{1+x}dx$

Beautiful monster: Catalan's constant and the Digamma function

A limit evaluating to $2 K$ (Catalan's constant)

Prove $ \int_{5\pi/36}^{7\pi/36} \ln (\cot t )dt +\int_{\pi/36}^{3\pi/36} \ln (\cot t )dt = \frac49G $

Finding $\int_0^{\frac{\pi}{2}} \frac{x}{\sin x} dx $

Is there an integral for $\frac{\pi}{\mathrm{G}}$?

How to Evaluate $ \sum_{n=1}^{\infty} \frac{(-1)^n}{n} \sum_{k=1}^{n}\frac{1}{4k-1} $

Conjecture $\sum\limits_{n=0}^{\infty}{2n \choose n}^22^{-4n} \frac{n(6n-1)}{(2n-1)^2(2n+1)}=\frac{2C}{\pi} $

How do I evaluate $\sum_{n=1}^{\infty}\frac{(-1)^{n+1}H_n}{2n+1}?$

Compute this following integral without Fourier series : $\int_0^{\pi/4}x\ln(\tan x)dx$

Evaluate $\int_{0}^{\frac{\pi}{4}}\ln(\cos(t))dt$

Evaluate $\int_{-\pi/4}^{\pi/4}\frac{x}{\sin x}\mathrm{d}x$

Integral $I=\int_0^\infty \frac{\ln(1+x)\ln(1+x^{-2})}{x} dx$

Relationship between Catalan's constant and $\pi$

Prove the integral evaluates to $\frac{K}{\pi}$

A double series yielding Riemann's $\zeta$

Catalan constant's integral representation

How many ways to deal with the integral $\int_{0}^{\frac{\pi}{4}} \ln (\tan x) d x$ and $\int_{0}^{\frac{\pi}{4}} \ln (\sin x) d x$?