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Mathematics
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CHAMSI
  • Member for 4 years, 4 months
  • Last seen more than a week ago
  • France
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Engineering student.

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15
Prove that $\int_{0}^{\infty}\frac{(\arctan x)^3}{x^3}dx=\frac{3π}{2}\ln2-\frac{π^3}{16}$
May 9, 2020
11
$\int_0^{\frac{\pi}{2}}\ln(\sin^2 x+k^2\cos^2 x)dx$ not by differentiation under the integral?
Dec 24, 2021
10
Convergent Improper integral whose integrand tends to a non zero finite limit as x tends to infinity.
May 29, 2020
10
Compute $\int_{0}^{\infty} \frac{\arctan{x}}{1+x} \frac{dx}{\sqrt[4]{x}}$
Mar 26, 2020
9
Algebraic proof that $\sum\limits_{k=0}^{n} {n \choose k}\cdot \frac{(-1)^k}{(k+1)(k+2)} = \frac{1}{n+2}$
Jan 19, 2022
8
Evaluating $\lim_{n\to \infty} n \int_{0}^{1} \frac{x^n}{x+1} dx$
Feb 1
8
Prove that for every $n \in \mathbb{N}$ $\sum\limits_{k=2}^{n}{\frac{1}{k^2}}<1$
Apr 26, 2020
7
Calculating $\lim_{x\to 0} \frac{a^{\tan x} - a^{\sin x}}{\tan x - \sin x}$ without using L'Hospital rule
May 27, 2020
7
Show that $\int_0^\pi \log( 1 - 2r\cos(t) + r^2)\, dt=0$
Jan 11, 2021
6
Can one integral can give more than one answer one with natural log and other with tan inverse
Dec 26, 2021
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Sending an executable to an old Macintosh SE using serial port
5
Sending an executable to an old Macintosh SE using serial port