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2d
comment Solve this integral:$\int_0^\infty\dfrac{\arctan x}{x(x^2+1)}\mathrm dx$
You are welcome!
Aug
29
comment Solve this integral:$\int_0^\infty\dfrac{\arctan x}{x(x^2+1)}\mathrm dx$
related: math.stackexchange.com/questions/1403038/…
Aug
29
comment Solve the factorial equation $x! = c$
To prove it's enough observing that $n!$ is strictly increasing for $n \ge 1$, then use @Shailesh 's observation.
Aug
27
answered Solving this Recurrence Relation in terms of previous values.
Aug
25
answered Calculate area of a triangle with just one length and a tangent-relation(?)
Aug
25
comment can a real number be added to a complex number
related for second question
Aug
24
comment 50th smallest positive integer with sum of power of 3
what have you tried?
Aug
24
comment Are there reasons not to use product of vectors as dot product?
Thank you, but I should say in my linear algebra course I have never seen the relationship of my question (even if it's quite trivial).
Aug
24
comment Are there reasons not to use product of vectors as dot product?
thank you for proving this example!
Aug
24
answered Why is $1+\cos(\theta)=2\cos^2(\frac{\theta}{2})$
Aug
24
accepted Are there reasons not to use product of vectors as dot product?
Aug
21
comment How to compute the monstrous $ \int_0^{\frac{e-1}{e}}{\frac{x(2-x)}{(1-x)}\frac{\log\left(\log\left(1+\frac{x^2}{2-2x}\right)\right)}{2-2x+x^2}dx} $
Observing $\log\left(\log\left(1+\frac{x^2}{2-2x}\right)\right) = \log(\log(2-2x+x^2) - \log(2-2x))$ could be useful
Aug
20
asked Are there reasons not to use product of vectors as dot product?
Aug
12
answered Can math be learned backwards?
Aug
10
comment Can Lagrange Multiplier method provide a saddle point in two dimensions
take $f(x,y) = x^2 - y^2$, in $(x,y)=(0,0)$. It's a maximum when restricting by imposing $y = 0$, but it's a minimum when restricting by imposing $x = 0$
Aug
8
revised Show $\lim_{m \to \infty ,n \to \infty } f(\frac{{\left\lfloor {mx} \right\rfloor }}{m},\frac{{\left\lfloor {ny} \right\rfloor }}{n}) = f(x,y)$
tag correction
Aug
8
suggested approved edit on Show $\lim_{m \to \infty ,n \to \infty } f(\frac{{\left\lfloor {mx} \right\rfloor }}{m},\frac{{\left\lfloor {ny} \right\rfloor }}{n}) = f(x,y)$
Aug
4
comment First 10 digits after decimal point in the number $(1+\sqrt{3})^{2015}$
no calculator can be used, i suppose...
Aug
3
comment Elegant solution for $\int {\frac{\cos(y)}{\sin^2(y)+\sin(y)-6}}dy$
from here decompose the fraction product in sum of fractions (as better explained in some other answers), then directly integrate remembering that $d(f(x) + c) = d(f(x))$. Here substitutions are useful to simplify visually but aren't strictly required.
Aug
2
revised Why is $2^4$ congruent to $-1$ modulo $17$?
deleted 26 characters in body