Since a complex number can be expressed using and , the inverse is also true. can be represented as and similarly, . This can aid integration and derivation.
Examples
1: Finding the 40th Derivative
Solve the following derivative:
can be represented as a complex number: So: We can ‘pull’ out the Re() function, because real numbers do not affect the Re(%20function.). We can use De Moivre’s Theorem to simplify the first part: and We can pull out the real and