7.1 Integration Techniques
Integration by Parts: Overview
This follows after the form of the Product Rule: ∫) ( ) ( ) ( ) ∫ ( ) ( )
Using simpler notation, let: ( ) and ( ) , then ( ) and ( )
Then, ∫ ∫
In deciding which function to assign to , choose the function that becomes simpler when derivative is
taken, since is what goes back into the integral as the second component.
When taking the anti-derivative of , constant factor does not