I'd like your help with proving that $$\int_0^1 \frac{\ln x }{x-1}d x=\sum_{n=1}^\infty \frac{1}{n^2}.$$ I tried to use Fourier series, or to use a p...

I have a solid cone base radius r, height h, mass M and I need to find the moment of inertia about a diameter of the base as axis. The book's answer ...

Is there a mathematical symbol to represent "else"; the way it's used in computer science and propositional logic? Is it simply "or"?

How does one integrate $$\int \dfrac{du}{(a^2 + u^2)^{3/2}}\ ?$$ The table of integrals here: http://teachers.sduhsd.k12.ca.us/abrown/classes/CalculusC/In...

I tried the Fundamental Counting principle approach: There are $26$ red cards to chose from for the first card. That leaves $26 \times 25 \times 24 \times...

This question puts me in mind of the previous alike question beginning with tangent. So, tried to solve it using that method: if $\arccos(\frac{1}{9})=\al...

We consider the Euclidean space version of the Doob Dynkin lemma. In particular we first consider the real line, and the statement of the lemma becomes If...

in arabic sites which is interested in maths , i find many topics like ,here is a proof that 0=2 . and we answer that the proof is wrong as we can't ...

In this document: What do the expressions like $$\ (n+v)_n $$ $$\ (m-v)_k $$ $$\ (n-v)_m $$ mean?

I've got an exercise to do and I don't really know what to do. Exercise : We've got function $f$, where $f(a) = 0$ and $f'(a)$ exists....