Mathematics
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Zaid Alyafeai
  • Member for 8 years, 11 months
  • Last seen more than 2 years ago
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About

My book on advanced integration

http://advancedintegrals.com/advanced-integration-techniques.pdf

My Blog where I post some interesting integration problems and properties.

My Email: alyafey22[at]gmail[dot]com

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All Questions Answers
Score Newest
question
80
Generalized Euler sum $\sum_{n=1}^\infty \frac{H_n}{n^q}$
Aug 16, 2013
question
44
Triple Euler sum result $\sum_{k\geq 1}\frac{H_k^{(2)}H_k }{k^2}=\zeta(2)\zeta(3)+\zeta(5)$
Dec 18, 2013
question
34
Evaluating $\int^1_0 \frac{\log(1+x)\log(1-x) \log(x)}{x}\, \mathrm dx$
Aug 12, 2013
answer
31
Really advanced techniques of integration (definite or indefinite)
Aug 7, 2016
question
29
Calculating alternating Euler sums of odd powers
Mar 3, 2017
question
26
Alternating harmonic sum $\sum_{k\geq 1}\frac{(-1)^k}{k^3}H_k$
Aug 1, 2013
question
21
A logarithmic integral $\int^1_0 \frac{\log\left(\frac{1+x}{1-x}\right)}{x\sqrt{1-x^2}}\,dx$
May 22, 2014
answer
20
How can we show that $\int_{0}^{1}\cos(\ln x)\cdot{\mathrm dx\over 1+x^2}={\pi\over 4}\cdot{1\over \cosh\left({\pi\over 2}\right)}?$
May 10, 2017
answer
19
Proving an alternating Euler sum: $\sum_{k=1}^{\infty} \frac{(-1)^{k+1} H_k}{k} = \frac{1}{2} \zeta(2) - \frac{1}{2} \log^2 2$
Dec 25, 2013
question
19
An integral of a rational function of logarithm and nonlinear arguments
Apr 19, 2017
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