Mathematics
poweierstrass's user avatar
poweierstrass's user avatar
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poweierstrass
  • Member for 7 years, 4 months
  • Last seen more than 6 years ago
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I blog at Applied Classical Analysis. Interesting solutions that I write here will also be posted at the blog.

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All Questions Answers
Score Newest
answer
49
Singularities, essential singularities, poles, simple poles
Sep 9, 2016
answer
15
Proving that Legendre Polynomial is orthogonal
Nov 8, 2016
question
11
Prove $\int_{0}^{1} \frac{\sin^{-1}(x)}{x} dx = \frac{\pi}{2}\ln2$
Oct 31, 2016
question
7
Prove $\int\limits_{0}^{\infty} \mathrm{exp}(-ax^{2}-\frac{b}{x^{2}}) \mathrm{d} x = \frac{1}{2}\sqrt{\frac{\pi}{a}}\mathrm{e}^{-2\sqrt{ab}}$
Aug 30, 2016
answer
7
Show that:$\int_{0}^{1}(1-\sqrt[k]{x})^ndx={1\over {k+n\choose n}}$
Dec 28, 2016
answer
6
Calculating $\int_{-\infty}^x\frac{1}{\sqrt{2\pi}} e^{-(\frac{x^2}{2}+2x+2)}\,dx$
Dec 27, 2016
answer
5
Where to learn advanced integral calculus?
Aug 15, 2016
question
4
Show $\frac{2}{\pi} \mathrm{exp}(-z^{2}) \int_{0}^{\infty} \mathrm{exp}(-z^{2}x^{2}) \frac{1}{x^{2}+1} \mathrm{d}x = \mathrm{erfc}(z)$
Oct 17, 2016
answer
4
Calculating $\int_0^\infty \frac{1}{x^\alpha}\frac{1}{1+x}\,{\rm d}x$
Oct 14, 2016
answer
4
How to prove the result of this integration?
Oct 21, 2016

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