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Mathematics
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Zaid Alyafeai

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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  • San'a, Yemen
  • advancedintegrals.com
  • Member for 5 years, 8 months
  • 2,332 profile views
  • Last seen Mar 3 at 11:16

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Top Posts (229) All Questions Answers | Votes Newest

63 Generalized Euler sum $\sum_{n=1}^\infty \frac{H_n}{n^q}$ Aug 16 '13
40 Triple Euler sum result $\sum_{k\geq 1}\frac{H_k^{(2)}H_k }{k^2}=\zeta(2)\zeta(3)+\zeta(5)$ Dec 18 '13
26 Calculating alternating Euler sums of odd powers Mar 3 '17
24 Evaluating $\int^1_0 \frac{\log(1+x)\log(1-x) \log(x)}{x}\, \mathrm dx$ Aug 12 '13
20 Alternating harmonic sum $\sum_{k\geq 1}\frac{(-1)^k}{k^3}H_k$ Aug 1 '13
20 Really advanced techniques of integration (definite or indefinite) Aug 7 '16
19 A logarithmic integral $\int^1_0 \frac{\log\left(\frac{1+x}{1-x}\right)}{x\sqrt{1-x^2}}\,dx$ May 22 '14
19 An integral of a rational function of logarithm and nonlinear arguments Apr 19 '17
18 Show that $\int_0^\infty \frac{x\log(1+x^2)}{e^{2\pi x}+1}dx=\frac{19}{24} - \frac{23}{24}\log 2 - \frac12\log A$ Dec 31 '16
18 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 '17
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