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Zachary's user avatar
Zachary
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I enjoy calculating interesting integrals and learning about new techniques to do so.

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Score Newest
question
12
Asymptotics of $\int_0^\infty \frac{x^{2z}}{\Gamma(1+z)}\,dz$ for large $x$
Dec 31, 2022
answer
11
An identity for the elliptic theta function
Jul 15, 2021
question
8
Is there a real-analytic way to derive the asymptotics of $\int_{-\infty}^\infty e^{ikx} e^{-k^4}\,dk$ as $|x|\to\infty$?
Nov 6, 2021
question
5
A conjecture on integrals of infinite products
Mar 15, 2020
question
4
Asymptotics of integral representation of distribution
Jun 3, 2022
question
3
How to prove that this one-parameter family of distributions converges to the Dirac measure?
Jun 22, 2021
question
3
Question on estimate in one of Jean Bourgain's 1992 papers
Feb 28
question
2
How is the Cauchy-Schwarz equality and the assumption on the support of $g$ used to derive this bound?
Dec 20, 2021
answer
2
Estimate for a simple oscillatory integral
Dec 1, 2020
answer
2
integral of fractional function
Feb 23, 2021
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14
Evaluate $\int_0^{\infty}\frac{\log x}{1+e^x}\,dx$
12
Some horrid integrals I am confused with
10
Prove that $\int_0^\infty\,\frac{\sin(kx)}{x(x^2+1)}\,\text{d}x=\frac{\pi}{2}\,\left(1-\exp(-k)\right)$ for all $k\in\mathbb{R}_{\ge0}$.
9
Evaluating a complex integral with the goniometric function
8
Evaluating the integral $\int_0^{\infty} \frac{\sin(x)}{\sinh(x)}\,dx$

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