6 - The Integration Constant and Power Rule

The Integral Constant Rule

If you have a constant a, in the derivative you would nuke that. Aka, make it zero.
In integrals, you do the opposite. You add the variable next to it.

The Integral Power Rule

Literally the "opposite" of the differentiation power rule, you add 1 to that exponent and divide the total result by this sum.

The same applies also to , for any constant a:

WARNING: THE POWER RULE FOR INTEGRALS DOES NOT APPLY FOR n=-1!!

Interactive Graph