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New posts in contour-integration
Help with integrating $\int_0^{\infty} \frac{(\log x)^2}{x^2 + 1} \operatorname d\!x$ - contour integration?
complex-analysis
contour-integration
Calculating the Fourier transform of $\frac{\sinh(kx)}{\sinh(x)}$
fourier-analysis
improper-integrals
contour-integration
residue-calculus
Calculating an integral using complex analysis
complex-analysis
contour-integration
Complex Integration poles real axis
complex-analysis
contour-integration
residue-calculus
Evaluating $\int\limits_0^\infty \! \frac{x^{1/n}}{1+x^2} \ \mathrm{d}x$
calculus
integration
complex-analysis
improper-integrals
contour-integration
Integral $\int_0^\pi \theta^2 \ln^2\big(2\cos\frac{\theta}{2}\big)d \theta$.
real-analysis
integration
definite-integrals
contest-math
contour-integration
Contour method to show that $\int_0^\infty\frac{x-\sin x}{x^3} \, dx=\frac\pi4$
complex-analysis
contour-integration
$\mathcal{B}^{-1}_{s\to x}\{e^{as^2+bs}\}$ and $\mathcal{L}^{-1}_{s\to x}\{e^{as^2+bs}\}$ , where $a\neq0$
laplace-transform
contour-integration
Proof $\int_{-\infty}^\infty\frac{dx}{\left(e^x+e^{-x}+e^{ix\sqrt{3}}\right)^2}=\frac{1}{3}$
integration
definite-integrals
contour-integration
closed-form
alternative-proof
Laplace transform of the Bessel function of the first kind
complex-analysis
improper-integrals
laplace-transform
contour-integration
Evaluating $\int_0^\infty \frac{\log (1+x)}{1+x^2}dx$
calculus
integration
complex-analysis
improper-integrals
contour-integration
Evaluating the integral $\int_{-\infty}^\infty \frac {dx}{\cos x + \cosh x}$
integration
definite-integrals
improper-integrals
contour-integration
show that $\int_{0}^{\infty} \frac {\sin^3(x)}{x^3}dx=\frac{3\pi}{8}$
calculus
integration
fourier-analysis
contour-integration
Tricky contour integral resulting from the integration of $\sin ax / (x^2+b^2)$ over the positive halfline
integration
complex-analysis
contour-integration
Showing that $\int_0^1 \log(\sin \pi x)dx=-\log2$
complex-analysis
contour-integration
How to choose a proper contour for a contour integral?
calculus
integration
complex-analysis
contour-integration
complex-integration
Proof without words of $\oint zdz = 0$ and $\oint dz/z = 2\pi i$
integration
complex-analysis
contour-integration
residue-calculus
visualization
How to evaluate $\int_C e^z\cot(4z)dz$ where $|z|=1$
complex-analysis
contour-integration
complex-integration
complex integral over a spiral
complex-analysis
contour-integration
curves
Improper integration involving complex analytic arguments
complex-analysis
integration
improper-integrals
contour-integration
complex-integration
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