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Claude Leibovici
  • Member for 9 years
  • Last seen this week
  • Pau, France
120 votes
Accepted

Evaluate $\int_0^\infty\frac{\ln x}{1+x^2}dx$

53 votes

How to test whether I am suitable to pursue mathematics?

43 votes

Can a chemical engineer become a self-taught mathematician?

41 votes
Accepted

How do you determine which representation of a function to use for Newton's method?

32 votes
Accepted

How can I find this limit involving thrice-iterated logarithm?

29 votes

Is there a better way to find the closest point on a line?

28 votes

Finding x in an Olympiad simultaneous equation

26 votes
Accepted

An integral for which I don't trust WolframAlpha

25 votes

Find the value of $(\log_{a}b + 1)(\log_{b}c + 1)(\log_{c}a+1)$ if $\log_{b}a+\log_{c}b+\log_{a}c=13$ and $\log_{a}b+\log_{b}c+\log_{c}a=8$

24 votes
Accepted

Evaluate $\int_0^{1/\sqrt{3}}\sqrt{x+\sqrt{x^2+1}}\,dx$

22 votes

Solve $x\sqrt{x\sqrt{x\sqrt{x\dots}}} = 4$

22 votes

How to straighten a parabola?

21 votes

If $f(x) = \frac{x^3}{3} -\frac{x^2}{2} + x + \frac{1}{12}$, then $\int_{\frac{1}{7}}^{\frac{6}{7}}f(f(x))\,dx =\,$?

20 votes

What is an example of real application of cubic equations?

19 votes
Accepted

Approximation of the Gamma function for small value

19 votes
Accepted

Is there an approximation to the natural log function at large values?

18 votes

How to find an approximation to $1 - \left( \frac{13999}{14000}\right )^{14000}$?

18 votes

A closed form for: $\int_{0}^{\infty} \frac{1}{(x-\log x)^2}dx$

17 votes
Accepted

given $2f(x) + f(1-x) = x^2$ find $f(-5)$

15 votes
Accepted

Please explain the logic behind $d(xy) = y(dx) + x(dy)$

15 votes

Conjecture: $\frac1\pi=\sum_{n=0}^\infty\left((n+1)\frac{C_n^3}{2^{6n}}\sum_{k=0}^n(-1)^k{n\choose k}{\frac{(n-k)(k-1)}{(2k-1)(2k+1)}}\right)$

14 votes
Accepted

Why can we linearize the exponential regression?

14 votes
Accepted

Fun logarithm question

14 votes
Accepted

How to find the solutions to $\frac{11}{2} x - \cos x = 0$?

14 votes

Euler-Mascheroni constant in Bessel function integral

14 votes
Accepted

Solving a quintic function for zero

14 votes
Accepted

Solve the system of equations for $\sqrt{xy}$

13 votes

Finding the limit of a difficult exponential function

13 votes
Accepted

How to simplify $\lim_{n\to \infty}\sum_{r=1}^n \tan^{-1} \dfrac{2r+1}{r^4+2r^3+r^2+1}$

13 votes
Accepted

How to compute $\int_0^\infty \frac{1}{(1+x^{\varphi})^{\varphi}}\,dx$?

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