One topic many programming languages have difficulty with is symbolic math. If you use Python though, you have access to sympy, the symbolic math library. ... If you integrate sin(x) from 0 to pi/2, ...

Really, all I have to do is change the value of pi in my program to e and run it again. And the best fractional representation of e is 566827 / 208524 that I found (I ran it up to numerator ...