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Venus
  • Member for 8 years
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About

I have a little mathematics background so I am trying to educate myself here more thorough and comprehensive.

Tell me, and I will forget. Show me and I may remember. Involve me, and I will understand.

It does not matter how slowly you go as long as you do not stop.

Confucius


List of my favorite answers on Mathematics StackExchange:

  1. A simple way to evaluate $\displaystyle\int_0^{2\pi}e^{\cos\theta}\cos(\sin\theta)\;d\theta$.
  2. Easiest way to find $\displaystyle\Re\int_{0}^{\pi/2} e^{\Large e^{i\theta}}\;d\theta$.
  3. Prove $\displaystyle\int_0^\infty \frac{\ln \tan^2 ax}{1+x^2}\;dx = \pi\ln(\tanh a)$.
  4. Other challenging logarithmic integral $\displaystyle\int_0^1 \frac{\log^2(x)\log(1-x)\log(1+x)}{x}dx$
  5. Evaluating this integral using the gamma function
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