examples with Sympy

[fluxion]

> >
> > ```An equation of two terms. They’re added together. The first term is an integral with respect to dx. It’s of the square root of a single fraction. The numerator of the fraction is x plus 1. The denominator of the fraction is x squared plus 3. The second term is a summation. It starts at j equals 1 and goes to n. It sums up 1 divided by j squared.
> >                       n     
> >                      ____   
> > ⌠                     ╲      
> > ⎮      ________        ╲   1 
> > ⎮     ╱ x + 1           ╲  ──
> > ⎮    ╱  ──────  dx +    ╱   2
> > ⎮   ╱    2             ╱   j 
> > ⎮ ╲╱    x  + 3        ╱      
> > ⌡                     ‾‾‾‾   
> >                     j = 1 
> > ```
> >
> > It’s been a long time since I’ve heard anyone talk college-level math aloud and you _definitely_ shouldn’t trust how I read the first term aloud, but this is roughly how I’d put it on my capsule.
> 
> +1 Nicely done.
> 
I also love this. Sometimes we are blind to the most simple and nice way
of doing something. Thanks!