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New posts in improper-integrals
Changing the bounds in an improper double integral
multivariable-calculus
improper-integrals
Closed form $\int_{-1}^{1} \frac{\ln (\sqrt{3} x +2)}{\sqrt{1-x^{2}} (\sqrt{3} x + 2)^{n}}\ dx$
real-analysis
complex-analysis
improper-integrals
closed-form
Integration of an improper integral and the Cauchy principal value
improper-integrals
cauchy-principal-value
Integral $\int_0^\infty \exp(ia/x^2+ibx^2)dx$
complex-analysis
integration
improper-integrals
residue-calculus
Can we simplify $\int_{0}^{\infty}\frac{{\sin}^px}{x^q}dx$?
definite-integrals
improper-integrals
Why does $\int_1^\infty\frac{\sin^2(x)}{x}\mathrm d x$ diverge?
integration
improper-integrals
Evaluate $\int_{0}^{\frac {\pi}{3}}x\log(2\sin\frac {x}{2})\,dx$
calculus
integration
definite-integrals
special-functions
improper-integrals
$\int_{0}^{\infty}{\left(x^3\cdot(e^x-1)^{-1} \right)}dx$
integration
improper-integrals
How to know which test to use on improper integral?
improper-integrals
L'Hôpital's Rule for $ \frac{\infty}{\infty-\infty} $?
calculus
integration
limits
improper-integrals
Evaluating $\int_{0}^{\infty}\frac{\arctan (a\,\sin^2x)}{x^2}dx$
calculus
integration
improper-integrals
integral of $x^{-\frac{1}{x}}\cos x$ from $1$ to $\infty$ does not converge:
real-analysis
calculus
limits
improper-integrals
Evaluate $\int_0^1\frac{x^3 - x^2}{\ln x}\,\mathrm dx$? [duplicate]
calculus
integration
definite-integrals
improper-integrals
Taylor series of $e^{-{1}/{x}}$
integration
taylor-expansion
improper-integrals
euler-lagrange-equation
euler-maclaurin
Asymptotics of $\int_1^L\int_1^L\int_1^L\int_1^L \frac{\mathrm dx_1~\mathrm dx_2 ~ \mathrm dx_3 ~ \mathrm dx_4}{(x_1+x_2)(x_2+x_3)(x_3+x_4)(x_4+x_1)}$
calculus
integration
limits
improper-integrals
$\int_{0}^{\infty} \frac{\cos x - e^{-x}}{x} \mathrm dx$ Evaluate Integral
calculus
real-analysis
integration
improper-integrals
Evaluate $\int_{0}^{\large\frac{\pi}{4}} \ln {(\sin x)}\cdot\ln {(\cos x)} \left(\frac{\ln{(\sin x)}}{\cot x}+\frac{\ln {(\cos x)}}{\tan x}\right)dx$
calculus
real-analysis
integration
definite-integrals
improper-integrals
LogSine Integral $\int_0^{\pi/3}\ln^n\big(2\sin\frac{\theta}{2}\big)\mathrm d\theta$
calculus
integration
definite-integrals
improper-integrals
contour-integration
Prove that $\int_0^1\frac{1-x}{1-x^6}\ln^4x\,dx=\frac{16\sqrt{3}}{729}\pi^5+\frac{605}{54}\zeta(5)$
calculus
real-analysis
integration
sequences-and-series
improper-integrals
Improper integral of $\log x \operatorname{sech} x$
integration
complex-analysis
improper-integrals
gamma-function
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