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10
Math.TechQA.Club
2025-01-07 20:44:25
125
Views
How to calculate this infinite sum?
Published on
07 Jan 2025 - 20:44
#sequences-and-series
#summation
#catalans-constant
304
Views
Sum of infinite series - Catalan constant
Published on
13 Jan 2025 - 2:36
#sequences-and-series
#constants
#catalans-constant
929
Views
Formulae for Catalan's constant.
Published on
11 Jan 2016 - 18:13
#integration
#definite-integrals
#catalans-constant
1.1k
Views
How to evaluate this integral $\int_{0}^{\infty }\frac{\ln\left ( 1+x^{3} \right )}{1+x^{2}}\mathrm{d}x$
Published on
07 Jan 2025 - 16:55
#calculus
#integration
#analysis
#contour-integration
#catalans-constant
464
Views
How to evaluate $\int_{0}^{1}\frac{\arctan x}{1+x^{2}}\ln\left ( \frac{1+x^{2}}{1+x} \right )\mathrm{d}x$
Published on
13 Jan 2025 - 5:32
#calculus
#integration
#analysis
#catalans-constant
526
Views
Catalan's constant and $\int_{0}^{2 \pi} \int_{0}^{2 \pi} \ln(\cos^{2} \theta + \cos^{2} \phi) ~d \theta~ d \phi$
Published on
13 Jan 2025 - 5:29
#integration
#definite-integrals
#trigonometric-integrals
#catalans-constant
296
Views
$\int_0^{\pi/2} \sec^a(t)\,dt= \frac{\sqrt{\pi}}{2\Gamma\left(1-\frac{a}{2}\right)}\Gamma\left(\dfrac{1-a}{2}\right)$
Published on
11 Jan 2025 - 2:49
#definite-integrals
#special-functions
#gamma-function
#polygamma
#catalans-constant
441
Views
Integral $\int_{0}^{\frac{\pi}{4}}x\ln(\cos x)dx$
Published on
08 Jan 2025 - 0:30
#integration
#definite-integrals
#riemann-zeta
#catalans-constant
242
Views
Riemann Zeta function and Catalan's constant
Published on
08 Jan 2025 - 12:34
#riemann-zeta
#beta-function
#catalans-constant
418
Views
How far have we got towards proving Catalan's constant is irrational?
Published on
13 Jan 2025 - 5:25
#analysis
#irrational-numbers
#catalans-constant
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