Antidifferentiation: Indefinite Integrals (VCE SSCE Mathematical Methods): Flashcards

Finding a function from its derivative

Arbitrary constant added to indefinite integrals

Integral sign

$\frac{x^{r+1}}{r+1} + c$

Cannot use when $r = -1$ (division by zero)

$k \int f(x) \, dx$

$\int f(x) \, dx + \int g(x) \, dx$

Indicates integrating with respect to $x$

Use given condition to find value of $c$

Add 1 to power, divide by new power, add $c$