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jeanne clement
  • Member for 5 years, 10 months
  • Last seen more than 3 years ago
662 votes
164 answers
55k views

What was the first bit of mathematics that made you realize that math is beautiful? (For children's book) [closed]

  • 101
510 votes
10 answers
260k views

Integral $\int_{-1}^1\frac1x\sqrt{\frac{1+x}{1-x}}\ln\left(\frac{2\,x^2+2\,x+1}{2\,x^2-2\,x+1}\right) \mathrm dx$

298 votes
9 answers
46k views

V.I. Arnold says Russian students can't solve this problem, but American students can -- why?

  • 7,931
263 votes
32 answers
125k views

Evaluating the integral $\int_0^\infty \frac{\sin x} x \,\mathrm dx = \frac \pi 2$?

159 votes
20 answers
20k views

How to distinguish between walking on a sphere and walking on a torus?

  • 2,415
68 votes
7 answers
41k views

$\sqrt{7\sqrt{7\sqrt{7\sqrt{7\sqrt{7\cdots}}}}}$ approximation [closed]

  • 1,053
62 votes
17 answers
9k views

Which is larger? $20!$ or $2^{40}$?

  • 3,977
61 votes
7 answers
66k views

Evaluating the indefinite integral $ \int \sqrt{\tan x} ~ \mathrm{d}{x}. $ [closed]

58 votes
1 answer
2k views

Is $1+x+\frac{x^2}2+\dots+\frac{x^n}{n!}$ irreducible?

35 votes
2 answers
18k views

Show that $\int_0^ \infty \frac{1}{1+x^n} dx= \frac{ \pi /n}{\sin(\pi /n)}$ , where $n$ is a positive integer.

  • 395
29 votes
10 answers
4k views

Calculate $\frac{1}{\sin(x)} +\frac{1}{\cos(x)}$ if $\sin(x)+\cos(x)=\frac{7}{5}$

26 votes
2 answers
1k views

An integral for the New Year 2016

  • 25.5k
25 votes
4 answers
72k views

Curl of Cross Product of Two Vectors

  • 1,235
22 votes
4 answers
88k views

How many triangles can be formed by the vertices of a regular polygon of $n$ sides?

  • 325
17 votes
1 answer
669 views

A partition problem

  • 1,319
16 votes
8 answers
94k views

If $3x^2 -2x+7=0$ then $\left(x-\frac{1}{3}\right)^2 =$?

  • 203
14 votes
4 answers
1k views

Evaluating $\lim_{n \to \infty}\frac{n}{2}\sqrt{2-2\cos\left(\frac{360^\circ}{n}\right)}$

14 votes
1 answer
450 views

$\int_{0}^{1}{(1-x)(1-2x^{\phi})+\phi(x-x^{\phi})\over (1-x)^2}\cdot{\left(1-x^{\phi}\over 1-x\right)^{1\over \phi}}\mathrm dx=\phi^{\phi}$

14 votes
2 answers
1k views

How to compute the monstrous $ \int_0^{\frac{e-1}{e}}{\frac{x(2-x)}{(1-x)}\frac{\log\left(\log\left(1+\frac{x^2}{2-2x}\right)\right)}{2-2x+x^2}dx} $

11 votes
6 answers
5k views

Resolve $\cos(3x)= \cos(2x)$

11 votes
9 answers
1k views

How do I evaluate $\int \frac {x+4}{ 2x+6 } dx $?

11 votes
5 answers
658 views

Formulae of the Year $2016$ [closed]

  • 1,117
11 votes
2 answers
1k views

What is the period of this sequence?

10 votes
7 answers
12k views

How to calculate the area covered by any spherical rectangle?

8 votes
7 answers
989 views

Finding $ \int^1_0 \frac{\ln(1+x)}{x}dx$

8 votes
2 answers
557 views

Find $\lim_\limits{x\to -\infty}{\frac{\ln\left(1+3^x\right)}{\ln\left(1+2^x\right)}}$

8 votes
1 answer
532 views

Prove this is an isosceles triangle [closed]

  • 6,654
8 votes
3 answers
8k views

Parametric equation - of a hyperbola

  • 3,368
7 votes
5 answers
7k views

Can every perfect square exist as the sum or difference of two perfect squares?

7 votes
2 answers
2k views

How can I obtain this division's limit without using derivatives?