Question

show that $\int_0^{\infty}\sin(u\cosh x)\sin(u\sinh x)\frac{dx}{\sinh x}=\frac{\pi }{2}\sin u$

score 238 · Answer 1 · 2015-01-22 12:53:52

238

Views

show that $\int_0^{\infty}\sin(u\cosh x)\sin(u\sinh x)\frac{dx}{\sinh x}=\frac{\pi }{2}\sin u$

Published on 22 Jan 2015 - 12:53

score 176 · Answer 2 · 2015-01-23 09:56:26

176

Views

Closed form of $\cot x=x$

Published on 23 Jan 2015 - 9:56

score 545 · Answer 3 · 2015-01-24 12:30:21

545

Views

closed form for a double sum

Published on 24 Jan 2015 - 12:30

score 489 · Answer 4 · 2015-01-24 13:32:24

489

Views

Closed form for the summation $\sum_{k=1}^n\frac{1}{r^{k^2}}$

Published on 24 Jan 2015 - 13:32

score 703 · Answer 5 · 2015-01-31 06:18:37

703

Views

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score 162 · Answer 6 · 2026-03-26 11:05:08

162

Views

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Published on 26 Mar 2026 - 11:05

score 291 · Answer 7 · 2026-03-25 23:38:03

291

Views

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Published on 25 Mar 2026 - 23:38

score 51 · Answer 8 · 2015-02-07 12:00:34

51

Views

Pricing at the hourly rate only until this exceeds the daily rate

Published on 07 Feb 2015 - 12:00

score 662 · Answer 9 · 2026-03-28 03:25:38

662

Views

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score 321 · Answer 10 · 2026-03-30 15:16:33

321

Views

How can I show that $\prod_{{n\geq1,\, n\neq k}} \left(1-\frac{k^{2}}{n^{2}}\right) = \frac{\left(-1\right)^{k-1}}{2}$?

Published on 30 Mar 2026 - 15:16

score 177 · Answer 11 · 2026-03-28 10:16:44

177

Views

Online database of formulae for series, infinite products, limits, ecc.

Published on 28 Mar 2026 - 10:16

score 53 · Answer 12 · 2015-02-11 22:08:35

53

Views

Iterations $F^n_h[f]$ of the operator $F_h[f]=D_h[f]\circ f^{-1}$

Published on 11 Feb 2015 - 22:08

score 6.2k · Answer 13 · 2015-02-12 11:45:25

6.2k

Views

Solution of $\int \frac{1}{x^2 \sqrt{x^2+9}}dx$

Published on 12 Feb 2015 - 11:45

score 11.6k · Answer 14 · 2015-02-12 17:51:50

11.6k

Views

Find a formula for the nth Fibonacci Number

Published on 12 Feb 2015 - 17:51

score 2.1k · Answer 15 · 2015-02-15 09:04:01

2.1k

Views

Finding the value of the infinite sum $1 -\frac{1}{4} + \frac{1}{7} - \frac{1}{10} + \frac{1}{13} - \frac{1}{16} + \frac{1}{19} + ... $

Published on 15 Feb 2015 - 9:04

List Question

show that $\int_0^{\infty}\sin(u\cosh x)\sin(u\sinh x)\frac{dx}{\sinh x}=\frac{\pi }{2}\sin u$

Closed form of $\cot x=x$

closed form for a double sum

Closed form for the summation $\sum_{k=1}^n\frac{1}{r^{k^2}}$

How to convert this equation to closed form (regular and weighted linear regession)

Liouville–Hardy theorem: when is $\int f(x) \log(x) dx$ elementary?

Is there a general rule for proving that an equation has no analyticial solution

Pricing at the hourly rate only until this exceeds the daily rate

Challenging identity regarding Bell polynomials

How can I show that $\prod_{{n\geq1,\, n\neq k}} \left(1-\frac{k^{2}}{n^{2}}\right) = \frac{\left(-1\right)^{k-1}}{2}$?

Online database of formulae for series, infinite products, limits, ecc.

Iterations $F^n_h[f]$ of the operator $F_h[f]=D_h[f]\circ f^{-1}$

Solution of $\int \frac{1}{x^2 \sqrt{x^2+9}}dx$

Find a formula for the nth Fibonacci Number

Finding the value of the infinite sum $1 -\frac{1}{4} + \frac{1}{7} - \frac{1}{10} + \frac{1}{13} - \frac{1}{16} + \frac{1}{19} + ... $

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