Power Law Integration and differentiation

$\displaystyle f$	$\textstyle =$	$\displaystyle Ax^n$	(5.17)
$\displaystyle \frac{df}{dx}$	$\textstyle =$	$\displaystyle nAx^{n-1}$	(5.18)
$\displaystyle \int f dx$	$\textstyle =$	$\displaystyle \frac{1}{n+1}Ax^{n+1} + C$	(5.19)