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Feb
7
revised Integral $\int_{-1}^1\frac1x\sqrt{\frac{1+x}{1-x}}\ln\left(\frac{2\,x^2+2\,x+1}{2\,x^2-2\,x+1}\right) \ \mathrm dx$
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Feb
7
answered Integral $\int_{-1}^1\frac1x\sqrt{\frac{1+x}{1-x}}\ln\left(\frac{2\,x^2+2\,x+1}{2\,x^2-2\,x+1}\right) \ \mathrm dx$
Feb
6
revised Distance from a point to a line, without the line extending to infinity
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Feb
6
answered Distance from a point to a line, without the line extending to infinity
Feb
6
revised What is $\displaystyle\lim_{n \to \infty} \space n^2\int_{0}^{1/n} x^{x+1} dx$?
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Feb
6
suggested suggested edit on What is $\displaystyle\lim_{n \to \infty} \space n^2\int_{0}^{1/n} x^{x+1} dx$?
Feb
6
comment Could the inequality $0<x(1-y^{-\frac{1}{x}})<2$ be solved?
Maybe taking logs might help.
Feb
5
revised Integral representation of the Riemann zeta function
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Feb
5
revised Integral representation of the Riemann zeta function
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Feb
5
revised Integral representation of the Riemann zeta function
deleted 72 characters in body
Feb
5
revised Integral representation of the Riemann zeta function
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Feb
5
revised Integral representation of the Riemann zeta function
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Feb
5
asked Integral representation of the Riemann zeta function
Feb
5
revised Finding a closed form for a sum involving floor function $\sum\limits_{k=1}^nk\lfloor km/n\rfloor$
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Feb
4
accepted Quarternionic Analysis
Feb
4
awarded  Enthusiast
Feb
2
comment Integrating $\int_0^\infty\frac{\log (1+z^2)}{e^z-1}dz$ using residue calculus.
@Ron - by rectangular contour do you mean that which "covers" the first quadrant (i.e. vertices at $(0,0), (R,0), (R,R), (0,R)$ ? (although I suppose that is technically square!)
Feb
2
revised Integrating $\int_0^\infty\frac{\log (1+z^2)}{e^z-1}dz$ using residue calculus.
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Feb
2
comment Integrating $\oint_\Gamma \cos(\log|z|)\cosh(\text{Arg}(z))\text{Arg}(z)e^{is(z-1)}dz$ using residue calculus.
@Ron come to think of it, I'm guessing not since, for example, the function $f(x+iy)\equiv\text{Arg}(x+iy)=\tan^{-1}(y/x)+i0$ is, by the C-R equations, only analytic on the line $x=0$ ($y\neq 0$). Is this along the lines you were thinking...
Feb
2
asked Integrating $\oint_\Gamma \cos(\log|z|)\cosh(\text{Arg}(z))\text{Arg}(z)e^{is(z-1)}dz$ using residue calculus.