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Math Admiral's user avatar
Math Admiral
  • Member for 3 years, 11 months
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April/15/2021

I am second year student of mathematics I know calculus 1+2+3 ,ODES,logic and writing proofs . at my current semester I am studying Abstract Algebra 01 ,Number Theory , Real Analysis ,PDES 01 and Linear Algebra 01.

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question
12
Evaluate integral $\int \frac{(2-x^2)e^x}{(1-x)(\sqrt{1-x^2})}dx $
Jan 5, 2021
answer
7
Conjecture: The sum of the coefficients of terms in the $n$-th derivative of $\sec (x)$ is $n!$ (and another pattern)
Jul 22
question
6
Conjecture: The sum of the coefficients of terms in the $n$-th derivative of $\sec (x)$ is $n!$ (and another pattern)
Jul 22
question
6
For fixed positive integer $k$, do we have a digit in $\sqrt{2}$ that repeats every $k$ digits?
Nov 28
question
5
About $\cos(\sqrt{-x})$
Apr 15, 2021
question
5
Let $R$ be a ring with unity and $u\in R$.If there is a unique $v\in R$ such that $uv=1_{R}$,show that $vu=1_{R}$,and therefore u is a unit.
Jul 7, 2022
answer
5
"Almost true": non-trivial claims that have exactly one counterexample
Oct 31
question
4
Is $3^{1/2}+3^{1/3}+3^{1/4}+3^{1/5}+\cdots+3^{1/(n+1)}$ always irrational?
Apr 12, 2021
answer
4
What are the interesting ways to write $2024$ and some facts about $2024$?
Dec 30, 2023
answer
4
Interesting ways to write 2023
Dec 31, 2022