Find the partial fraction for: $\frac{1}{(x^2+1)^2(x-1)}$
I want to find the partial fraction of: $$\frac{1}{(x^2+1)^2(x-1)}$$ Although I want this expressed through the format of finding the complex number that ...
04 Apr 2026 1 READS
What is the interpretation of the fundamental theorem of line integrals?
The fundamental theorem of line integrals is: $$\int_{a}^{b} \nabla F \cdot \vec{dr} = F(r(b)) - F(r(a))$$ for some curve traced by $r$. What is the intui...
04 Apr 2026 1 READS
Why is $\arctan(x)=x-x^3/3+x^5/5-x^7/7+\dots$?
Why is $\arctan(x)=x-x^3/3+x^5/5-x^7/7+\dots$? Can someone point me to a proof, or explain if it's a simple answer? What I'm looking for is the ...
04 Apr 2026 1 READS
Critiques on proof showing $\sqrt{12}$ is irrational.
My only exposure to proofs was in a math logic class I took in University. I was wondering if my attempt at proving that $\sqrt{12}$ is irrational is OK. ...
04 Apr 2026 1 READS
Mismatched charset while executing application on Windows and Wine (Ubuntu)
We have a small exe client application that used for loading the scanned images from the remote sources, what we need to do is enter the address from the ...
04 Apr 2026 1 READS
Reinstalling Java packages gives unmet dependencies error, after uninstalling Java
I uninstalled java following this tutorial and then I tried to install it again. I typed: sudo apt-get update all good and then I run this sudo apt-get in...
04 Apr 2026 1 READS
Arbitrary Matrices Solving
I'm trying to solve some equations with arbitrary matrices. My Problem is that I don't know what way to solve the equation should be taken. Exam...
04 Apr 2026 0 READS
install sinhala unicode pack
Ubuntu has the built in sinhala unicode support. But it is not the 'wijesekara' keyboard layout. ( http://www.ucsc.cmb.ac.lk/ltrl/services/layou...
04 Apr 2026 0 READS
OGF for partitions of integer r-N into even parts less than or equal to 2m (N is some integer that may depend on m).
Let $a_r$ be the number of partitions of the integer r-N into even parts, the largest of which is less than or equal to 2m, where N is some integer that m...
04 Apr 2026 0 READS
Calc of potential function using line integral
I tried to calculate a potential function using the two major methods (by partial differentiation/integration, and by line integral). The two worked with ...
04 Apr 2026 0 READS
