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Argon
  • Member for 10 years, 3 months
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247 votes
4 answers
26k views

The Integral that Stumped Feynman?

122 votes
5 answers
9k views

Help find hard integrals that evaluate to $59$?

74 votes
8 answers
11k views

Evaluating $\int_0^\infty \sin x^2\, dx$ with real methods?

70 votes
9 answers
14k views

Do "Parabolic Trigonometric Functions" exist?

68 votes
6 answers
5k views

Am I too young to learn more advanced math and get a teacher?

56 votes
12 answers
6k views

What is the fastest/most efficient algorithm for estimating Euler's Constant $\gamma$?

51 votes
4 answers
4k views

Proving $\sum_{n=-\infty}^\infty e^{-\pi n^2} = \frac{\sqrt[4] \pi}{\Gamma\left(\frac 3 4\right)}$

40 votes
1 answer
5k views

How to choose a proper contour for a contour integral?

39 votes
4 answers
4k views

Good book on evaluating difficult definite integrals (without elementary antiderivatives)?

36 votes
4 answers
11k views

How to prove that $\lim \limits_{n\rightarrow \infty} \frac{F_{n+1}}{F_n}=\frac{\sqrt{5}+1}{2}$

35 votes
3 answers
31k views

Use of determinants

31 votes
5 answers
7k views

Are there ways of finding the $n$-th derivative of a function without computing the $(n-1)$-th derivative?

31 votes
3 answers
2k views

Evaluating the integral $\int_{-\infty}^\infty \frac {dx}{\cos x + \cosh x}$

29 votes
5 answers
2k views

Evaluation of $\sum\limits_{n=0}^\infty \left(\operatorname{Si}(n)-\frac{\pi}{2}\right)$?

23 votes
1 answer
792 views

Proving $\left(\sum_{n=-\infty}^\infty q^{n^2} \right)^2 = \sum_{n=-\infty}^\infty \frac{1}{\cos(n \pi \tau)}$

22 votes
5 answers
4k views

How does partial fraction decomposition avoid division by zero?

22 votes
4 answers
33k views

How to find the parametric equation of a cycloid?

21 votes
1 answer
8k views

Evaluation of $\sum_{x=0}^\infty e^{-x^2}$

19 votes
3 answers
526 views

What would be the value of $\sum\limits_{n=0}^\infty \frac{1}{an^2+bn+c}$

17 votes
1 answer
711 views

Closed form for $\sum_{n=2}^\infty \frac{1}{n^2\log n}$

16 votes
2 answers
1k views

Sum with binomial coefficients and a square root

15 votes
2 answers
6k views

Has Euler's Constant $\gamma$ been proven to be irrational?

15 votes
3 answers
15k views

How to figure of the Laplace transform for $\log x$?

13 votes
2 answers
4k views

How was Euler able to create an infinite product for sinc by using its roots?

13 votes
3 answers
343 views

Evaluating a slow sum

12 votes
1 answer
410 views

Why is $10\frac{\exp(\pi)-\log 3}{\log 2}$ almost an integer?

11 votes
2 answers
6k views

How do we know Taylor's Series works with complex numbers?

11 votes
2 answers
925 views

Derivative of $x^{x^{\cdot^{\cdot}}}$?

11 votes
4 answers
9k views

Complex Analysis Solution to the Basel Problem ($\sum_{k=1}^\infty \frac{1}{k^2}$) [duplicate]

11 votes
1 answer
814 views

Evaluation of an integral involving the Lambert W function