Mathematics
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Shashi
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All Questions Answers
Score Newest
answer
79
How to evaluate $\int_{0}^{\infty} \frac{x^{-\mathfrak{i}a}}{x^2+bx+1} \,\mathrm{d}x$ using complex analysis?
Nov 20, 2017
question
10
Martingale oscillating between three values
Oct 21, 2018
question
10
Infinite convolution of a smooth compactly supported function converges uniformly
Oct 22, 2021
answer
10
Simplest or nicest proof that $1+x \le e^x$
Nov 10, 2017
answer
9
Let $f(x) = |x|^2$. Does $f'(0)$ exist?
Jan 10, 2018
question
8
Is the heat semigroup $P_t$ smooth for any function $f$ for which $P_tf$ is well-defined?
Jan 8, 2021
answer
8
About the integral $\int_0^{\pi/2} \cos^n(x)\cos(nx) \;dx$ and $\int_0^{\pi/2} \cos^n(x)\sin(nx) \;dx$.
Aug 30, 2018
answer
8
Proving $\int_0^\pi \frac{\log(1+x\cos (y))}{\cos y}dy=\pi \arcsin x$
Oct 21, 2018
answer
7
The following set is open/closed?
Nov 13, 2017
answer
7
Compute $\int_{0}^{+\infty}\text{arctan}\left(e^{-x}\right)\text{d}x$
Jan 30, 2018

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