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Shashi

Apparently, this user prefers to keep an air of mystery about them.

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74 How to evaluate $\int_{0}^{\infty} \frac{x^{-\mathfrak{i}a}}{x^2+bx+1} \,\mathrm{d}x$ using complex analysis? Nov 20 '17
9 Let $f(x) = |x|^2$. Does $f'(0)$ exist? Jan 10 '18
8 Is the heat semigroup $P_t$ smooth for any function $f$ for which $P_tf$ is well-defined? Jan 8
7 Simplest or nicest proof that $1+x \le e^x$ Nov 10 '17
7 The following set is open/closed? Nov 13 '17
7 Compute $\int_{0}^{+\infty}\text{arctan}\left(e^{-x}\right)\text{d}x$ Jan 30 '18
7 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 '18
7 Proving $\int_0^\pi \frac{\log(1+x\cos (y))}{\cos y}dy=\pi \arcsin x$ Oct 21 '18
6 Show that $\lim\limits_{x \to \infty}\frac{\ln x}{x}=0$ from definition. Nov 15 '18
6 uniform convergence of the composition of two sequence of functions Mar 12 '18
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