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15
Math.TechQA.Club
2019-04-26 05:03:19
246
Views
How do I find a closed form expression for a sum
Published on
26 Apr 2019 - 5:03
#combinatorics
#summation
#closed-form
207
Views
What is $\sum_{k=1}^\infty \rm{sinc}^8(k)$ using the sine cardinal function?
Published on
26 Mar 2026 - 4:51
#trigonometry
#closed-form
#pi
56
Views
How to solve this integration or does this have a closed form?
Published on
26 Apr 2019 - 14:44
#integration
#closed-form
124
Views
Compute in closed form that $S=\sum_{n=1}^{\infty}\frac{1}{6n^5+15n^4+10n^3-n}$
Published on
25 Mar 2026 - 6:24
#sequences-and-series
#summation
#closed-form
#digamma-function
2.2k
Views
Integral $\int_0^\infty \frac{\ln(1+x+x^2)}{1+x^2}dx$
Published on
28 Apr 2019 - 18:00
#integration
#definite-integrals
#closed-form
444
Views
Compute this following integral without Fourier series : $\int_0^{\pi/4}x\ln(\tan x)dx$
Published on
19 Mar 2026 - 13:42
#integration
#definite-integrals
#closed-form
#polylogarithm
#catalans-constant
246
Views
Compute in closed form $\int_0^1\frac{\arctan{ax}}{\sqrt{1-x^{2}}}dx$
Published on
25 Mar 2026 - 9:28
#integration
#definite-integrals
#closed-form
#harmonic-numbers
#polylogarithm
103
Views
Compute in closed form : $\int_0^{\frac{π}{4}} x\ln(\tan x)\left(1-\frac{1}{\cos^2 x}\right)dx$
Published on
25 Mar 2026 - 9:29
#integration
#definite-integrals
#closed-form
#polylogarithm
245
Views
Integral $\int_0^{\pi / 4}\frac{x\tan^2 x\ln\left(\tan x\right)}{\cos^2 x}dx$
Published on
01 May 2019 - 0:27
#calculus
#integration
#definite-integrals
#closed-form
#trigonometric-integrals
144
Views
Methods to derive a closed form for $I_n=\int_0^\infty \frac{\ln^n(x+1)-\ln^n(x)}{x+1}dx$
Published on
01 May 2019 - 23:30
#improper-integrals
#closed-form
140
Views
Evaluating the integral $\int_0^{\pi/2}\frac{\cos^{3/2}x}{\sin x\sqrt{\lambda-2\cos x-2\ln(1-\cos x)+2\ln(\sin x)}}\,\mathrm dx$
Published on
02 May 2019 - 14:27
#integration
#trigonometry
#closed-form
#trigonometric-integrals
312
Views
How can I compute this integral in closed form : $\int_0^{\frac{π}{4}}\ln^2(\tan x)dx$
Published on
25 Mar 2026 - 11:06
#integration
#definite-integrals
#closed-form
#trigonometric-integrals
#polylogarithm
216
Views
The sine cardinal function and $F_1 = F_2 = F_3 = F_4 = F_5 = F_6 = 0$
Published on
26 Mar 2026 - 6:32
#sequences-and-series
#definite-integrals
#closed-form
#pi
124
Views
Is there a closed form, or cleaner way of writing a function satisfying $\frac{d^nf(x)}{dx^n}|_{x=0}=f(n)$ for all $n$?
Published on
05 May 2019 - 1:17
#ordinary-differential-equations
#derivatives
#closed-form
66
Views
Exact formula of the roots of a polynomial
Published on
06 May 2019 - 17:13
#polynomials
#roots
#radicals
#closed-form
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