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Archisman Panigrahi's user avatar
Archisman Panigrahi's user avatar
Archisman Panigrahi's user avatar
Archisman Panigrahi
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Graduate student of Physics at MIT. Homepage: https://archisman-panigrahi.github.io/

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60
How to prove that a $3 \times 3$ Magic Square must have $5$ in its middle cell?
Jan 13, 2014
16
Evaluate $\int_0^\pi \left(\frac{\sin{2x}\sin{3x}\sin{5x}\sin{30x}}{\sin{x}\sin{6x}\sin{10x}\sin{15x}}\right)^2 dx$ (from MIT Integration Bee 2023)
Feb 10, 2023
13
Evaluate $\int_0^\pi \left(\frac{\sin{2x}\sin{3x}\sin{5x}\sin{30x}}{\sin{x}\sin{6x}\sin{10x}\sin{15x}}\right)^2 dx$ (from MIT Integration Bee 2023)
Feb 10, 2023
11
How to find the maximum and minimum value of $2^{\sin x}+2^{\cos x}$
Sep 24, 2015
9
Probability of having at least one pair by drawing 4 shoes from 12 pairs.
Oct 19, 2015
9
Evaluate $\int_0^{\frac{π}{2}}\tan (x)\ln (\sin x)\ln (\cos x)dx$
Jul 7, 2019
8
What is the asymptotic expansion of the integral $\int_{-\infty}^{\infty} \frac{\tanh{(x^2-a^2)}}{x^2-a^2} dx$ in the limit of large $a$?
Nov 7, 2023
7
How does this converging function appear to diverge?
Jan 18, 2017
6
How to evaluate $\int_0^\infty (\frac{\tanh x}{x^3} - \frac{\operatorname{sech}^2 x}{x^2}) dx$? [duplicate]
May 13
6
What is the asymptotic expansion of the integral $\int_{-\infty}^{\infty} \frac{\tanh{(x^2-a^2)}}{x^2-a^2} dx$ in the limit of large $a$?
Nov 7, 2023
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Why was my suggested edit rejected despite correcting a calculation error?
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How to install Firefox as a traditional deb package (without snap) in Ubuntu 22.04 or later versions?
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Cannot change brightness (Ubuntu 16.04 LTS, Unity)
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How to create a png with transparent background in inkscape?
76
Installing python: who is deadsnakes and why should I trust them?
56
How can I solve "Be aware that removing the lock file is not a solution and may break your system"?