Question

Integrate ((ax+b)/((ax^2+2bx+c)^(1/2))dx

Answer 1

use substitution

u = ax^2 +2bx+c
du = 2ax +2b = 2(ax+b) dx

\[\rightarrow \frac{1}{2} \int\limits_{}^{}\frac{1}{\sqrt{u}}du\]