Primitive Functions (HSC SSCE Mathematics Advanced): Flashcards

Reverse process of differentiation

Only by a constant term

$F'(x) = f(x)$

$F(x) + C$ where $C$ is constant

Determines exact value of constant $C$

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

Increase index by 1, divide by new index

When $n = -1$

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

Increase index by 1, divide by new index AND coeff. of $x$