we need more integral solvers

[MomoDeve]

There are a lot of stuff to do, but to begin with, I will put some unsolvable by AM integrals here:

• [ ] cos(x^2)*x variable substitution method, WolframAlpha
• [ ] sin(x)*e^x integrating by parts and solving integral equation, WolframAlpha
• [ ] 1/(a^2 + x^2) standard integral for arctan, WolframAlpha
• [ ] x^2 / (x^4 + 1) partial fractioning WolframAlpha
• [ ] sqrt(tan(x)) very painful, requires different solvers, WolframAlpha

I do not mention special integrals here, like e^(x^2) or 1/ln(x)