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Mathematics
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mrtaurho

"The mathematician does not study pure mathematics because it is useful; he studies it because he delights in it and he delights in it because it is beautiful" - Georg Cantor

Contact: mrtaurho[at]gmail[dot]com

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  • Member for 9 months
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Top Posts (130) All Questions Answers | Votes Newest

10 Find $x$: $\sqrt[3]{1+\sqrt{x}}+\sqrt[3]{1-\sqrt{x}}=\sqrt[3]{5}$ Oct 20
9 Integral of $\ln(\tanh(x))$ Dec 5
8 Show that $\int_0^1\frac{\operatorname{Li}_3(1-z)}{\sqrt{z(1-z)}}dz=-\frac{\pi^3}{3}\log 2+\frac{4\pi}3\log^3 2+2\pi\zeta(3)$ Oct 5
7 Integral $\int_a^\infty \frac{\arctan(x+b)}{x^2+c}dx$ Nov 18
7 How to evaluate $\int_{0}^{2\pi}x^2\ln (1-\cos x)dx$? Nov 2
6 On the integral $I(a)=\int_0^1\frac{\log(a+t^2)}{1+t^2}dt$ Nov 11
5 How to evaluate this nonelementary integral? Nov 24
5 Evaluate $\int_0^1 \log^n(x^a)\log^m(1-x^{\color{red}{\alpha}})x^b(1-x^{\color{red}{\beta}})^t~dx$ with $\alpha\ne\beta$ Oct 20
5 Show that $\int_0^1 \frac{\ln(x+1)}{x}dx=-\frac12\int_0^1 \frac{\ln x}{1-x}dx$ Oct 4
5 Matrix vector form. Is this in the correct form? Aug 1
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