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10h
revised Bonus integration problem we got at class: Integrate $\frac {x \sin x}{1+\cos^2x}$ between $0$ and $\pi$
expand explaation of $(4)$ in case that was the cause of the downvote
10h
comment compute $\lim_{n\rightarrow\infty}\sum_{k=1}^n \sin(\pi \sqrt{k/n}) (1/\sqrt{kn})$
The $\frac1n$ in the spoiler disappears.
10h
answered The real part of the sum $(i-1)+(i-1)^2+(i-1)^3…+(i-1)^{2013}$?
11h
comment Bonus integration problem we got at class: Integrate $\frac {x \sin x}{1+\cos^2x}$ between $0$ and $\pi$
would the downvoter care to comment?
11h
revised Bonus integration problem we got at class: Integrate $\frac {x \sin x}{1+\cos^2x}$ between $0$ and $\pi$
add explanation
11h
answered Bonus integration problem we got at class: Integrate $\frac {x \sin x}{1+\cos^2x}$ between $0$ and $\pi$
15h
comment Why are the eigenfunctions linear independent?
@MaryStar: No. It is just one way. What we need to show is that if $a\sin(kx)+b\cos(kx)=0$, then $a=b=0$.
15h
comment Why are the eigenfunctions linear independent?
@MaryStar: One way to show that $\cos(kx)$ and $\sin(kx)$ are linearly independent is by orthogonality. $\int_0^{2\pi}\sin(kx)\cos(kx)\,\mathrm{d}x=0$
16h
comment Why are the eigenfunctions linear independent?
I could not think of a way, but I will continue to think on it.
16h
answered Why are the eigenfunctions linear independent?
16h
comment Expansion of complex equation.
@MartinSleziak: I have no problem with alternate methods and your alternate method is good; it answers the more general part of the question. My comment was more in reaction to some of the more obscure approaches to a basic question.
16h
comment $\sum\limits _{n=1}^{\infty}\frac{1}{n^s}=50$ Riemann-Zeta
There are ways to get approximate answers without the black box of a CAS. Jack D'Aurizio's and user17762's answers give an idea of how to compute an approximation.
17h
comment $\sum\limits _{n=1}^{\infty}\frac{1}{n^s}=50$ Riemann-Zeta
This does not seem to address "I've no idea how to begin so, help me!" other that perhaps pulling out a CAS.
19h
comment Expansion of complex equation.
+1. I don't understand why people are making this seem harder than it is.
19h
comment Expansion of complex equation.
+1 for the first part. I'm not sure what I think about the multitude of harder ways that are being posted.
19h
answered Compute $\int _{\frac{4}{5}}^2\:f^{-1}\left(x\right)dx$
22h
revised locus of moving circles with changing radius
add an example
1d
answered locus of moving circles with changing radius
1d
revised Find the max and min of $f(x) = x^5 -x^4+x^2-x$
move comment into answer
1d
comment Find the max and min of $f(x) = x^5 -x^4+x^2-x$
Are you supposed to find the maximum and minimum on an interval or all $\mathbb{R}$?