Mathematics
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Quanto
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View all questions and answers
All Questions Answers
Score Newest
answer
36
How deep is the liquid in a half-full hemisphere?
Sep 22, 2019
answer
33
Evaluating $\left.\int_0^{\pi/2}\sqrt{1+\frac1{\sqrt{1+\tan^nx}}}\text dx \middle/\int_0^{\pi/2}\sqrt{1-\frac1{\sqrt{1+\tan^nx}}}\text dx\right.$
Dec 8, 2020
answer
30
How to integrate$\int_0^1 \frac{\ln x}{x-1}dx$ without power series expansion
Oct 22, 2019
answer
26
Prove $\cos 20^\circ \cos 40^\circ \cos 80^\circ= \frac18$ geometrically
May 4, 2020
question
26
Compute close-form of $\int_0^{\frac\pi2}\frac{dt}{\sin t+\cos t+\tan t+\cot t+\csc t+\sec t}$
Mar 11, 2021
answer
25
Various ways to calculate $\int \sin(x) \cos(x) \, \mathrm{d}x$
Sep 28, 2021
answer
23
$\int_{0}^{\infty}\tan^{-1}\left(\frac{2x}{1+x^2}\right)\frac{x}{x^2+4}dx$
Sep 11, 2022
answer
21
Help with $\int _0^{\infty }\frac{\sinh \left(x\right)}{x\cosh ^2\left(x\right)}\:\mathrm{d}x$
Jul 16, 2021
answer
21
When to differentiate under the integral sign?
Nov 27, 2019
question
20
Solve trigonometric equation $\cos \sqrt{\frac{\pi^2-x^2}3} + 2\cos \frac{\pi -x}3=0$
Feb 21, 2021

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