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New posts in contour-integration
Contour Integration of Logarithmic Rational Function
integration
improper-integrals
contour-integration
Proof that $\frac {1} {2\pi i} \oint \frac {{\rm d}z} {P(z)} $ over a closed curve is zero.
integration
complex-analysis
analysis
contour-integration
cauchy-integral-formula
Inverse Laplace Transform of e$^{-c \sqrt{s}}/(\sqrt{s}(a - s))$
laplace-transform
contour-integration
Sum $\sum^\infty_{n=1}\frac{(-1)^nH_n}{(2n+1)^2}$
sequences-and-series
definite-integrals
contour-integration
harmonic-numbers
polylogarithm
How to solve $\int_0^{\pi/2} \ln{(x^2 + \ln^2{(\cos{x})})} \,\mathrm{d}x$ [duplicate]
integration
definite-integrals
contour-integration
Evaluate $\int_1^\infty \frac {dx}{x^3+1}$
integration
complex-analysis
definite-integrals
improper-integrals
contour-integration
Evaluating the sum $\sum_{n=1}^{\infty}\dfrac{(-1)^{n}}{n^{2}}$
complex-analysis
contour-integration
Integral of $\log(\sin(x))$ using contour integrals
calculus
real-analysis
integration
complex-analysis
contour-integration
What are the reasons for using a semi-circle in upper half plane of $\mathbb{C}$ for contour integration?
integration
complex-analysis
soft-question
contour-integration
residue-calculus
integral of $\int_{0}^{1}\frac{\ln(x^{2}+1)}{x+1}dx$ using contour integration?
definite-integrals
contour-integration
A difficult one-variable exponential integral
integration
definite-integrals
contour-integration
integral $\int_{0}^{\infty}\frac{\cos(\pi x^{2})}{1+2\cosh(\frac{2\pi}{\sqrt{3}}x)}dx=\frac{\sqrt{2}-\sqrt{6}+2}{8}$
integration
complex-analysis
definite-integrals
improper-integrals
contour-integration
Dog Bone Contour Integral
complex-analysis
contour-integration
residue-calculus
Evaluating $\int_{0}^{\infty}\frac{\sin(ax)}{\sinh(x)}dx$ with a rectangular contour
integration
complex-analysis
improper-integrals
contour-integration
residue-calculus
show that $\int_{0}^{\infty}\frac{x\cos ax}{\sinh x}dx=\frac{\pi^2}{4} \operatorname{sech}^2 \left(\frac{a\pi}{2}\right) $
calculus
integration
contour-integration
How to prove that $\int_0^\infty\frac{\left(x^2+x+\frac{1}{12}\right)e^{-x}}{\left(x^2+x+\frac{3}{4}\right)^3\sqrt{x}}\ dx=\frac{2\sqrt{\pi}}{9}$?
integration
analysis
definite-integrals
contour-integration
Inverse Laplace Transform of $\bar p_D = \frac{K_0(\sqrt[]s r_D)}{sK_0(\sqrt[]s)}$
calculus
integration
partial-differential-equations
laplace-transform
contour-integration
Fourier transform of $\text{sinc}^3 {\pi t}$
fourier-analysis
contour-integration
integral-transforms
Physical interpretation of residues
complex-analysis
contour-integration
erf(a+ib) error function separate into real and imaginary part
calculus
integration
complex-analysis
contour-integration
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