∫ dx/(ax²+bx+c): discriminant cases (Complete square; D>0 → logs; D<0 → (1/sqrt)arctan; D=0 → power.)

jee-mainjee-advanced

Complete square; D>0 → logs; D<0 → (1/sqrt)arctan; D=0 → power.

What each symbol means

SymbolWhat it stands for
Db^2-4ac

When to use this

Factor out a from quadratic first.