The Indefinite Integral (HSC SSCE Mathematics Advanced): Flashcards

General primitive of a function

A function (not a number)

$C$ (or $c$)

Always for indefinite integrals (not definite integrals)

$\frac{x^{n+1}}{n+1} + C$

$\frac{(ax+b)^{n+1}}{a(n+1)} + C$

Would cause division by zero

Increase power by 1, divide by new power

$x^{\frac{1}{2}}$

When expansion gives simpler terms to integrate