Primitive Functions (HSC SSCE Mathematics Advanced): Quizzes

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

Functions with same derivative differ by C

$f(x)$ and $g(x)$ differ by constant

$\frac{x^4}{4} + C$

$n = -1$

Rewrite as $x^{-2}$

$\frac{2}{3}x^{\frac{3}{2}} + C$

$\frac{(3x+1)^5}{15} + C$

Divide by new index AND coefficient of $x$

$C = -6$