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Mathematics
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Shashi

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

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  • Member for 2 years, 9 months
  • 664 profile views
  • Last seen 2 hours ago

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Top Posts (326) All Questions Answers | Votes Newest

68 How to evaluate $\int_{0}^{\infty} \frac{x^{-\mathfrak{i}a}}{x^2+bx+1} \,\mathrm{d}x$ using complex analysis? Nov 20 '17
8 Let $f(x) = |x|^2$. Does $f'(0)$ exist? Jan 10 '18
7 Proving $\int_0^\pi \frac{\log(1+x\cos (y))}{\cos y}dy=\pi \arcsin x$ Oct 21 '18
7 Compute $\int_{0}^{+\infty}\text{arctan}\left(e^{-x}\right)\text{d}x$ Jan 30 '18
7 The following set is open/closed? Nov 13 '17
6 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
6 Show that $\lim\limits_{x \to \infty}\frac{\ln x}{x}=0$ from definition. Nov 15 '18
6 Proving that $\sup\limits_{n\geq 1}\{a_n+b_n\}\neq \sup\limits_{n\geq 1}a_n+\sup\limits_{n\geq 1}b_n$ Apr 11 '18
6 Integrating :$\int_{0}^{1} \frac{x^{b}-x^{a}}{\log(x)}\sin(\log(x))dx$ Nov 15 '17
5 Find $\lim_{n\to \infty}\int_1^{\infty}\frac{n}{1+x^n}dx$ Apr 11 '18
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