User Math Admiral

About

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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14

Evaluate integral $\int \frac{(2-x^2)e^x}{(1-x)(\sqrt{1-x^2})}dx $

7

About $\cos(\sqrt{-x})$

7

Conjecture: The sum of the coefficients of terms in the $n$-th derivative of $\sec (x)$ is $n!$ (and another pattern)

6

Conjecture: The sum of the coefficients of terms in the $n$-th derivative of $\sec (x)$ is $n!$ (and another pattern)

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.