Eroxl's Notes
Antiderivative Rules

General Rules

Warning

If the is replaced by some algebra for example integration by substitution still needs to be used. The rules only apply when is just a variable for example after the algebra has been substituted for .

Constant Multiple Rule

  • where is any constant

Sum Rule

Constant Rule

Power Rule

Example

Inverse Rule

Example

Specific Functions

Trigonometric Functions

Function Antiderivative Example

Reciprocals

Function Antiderivative Example