What is the general method for integrating by parts?
The trick with doing integration by parts comes in choosing your
For example, consider
If you let
You can try to evaluate the integral
This way, you can actually do the problem.
Now you are probably thinking "Is there a way to know to to make
The answer is yes. Use the acronym LIPET to remember the order of choosing
L: logarithmic stuff
I: inverse trig stuff
P: polynomialish stuff
E: exponential stuff
T: trig stuff
Trial and error should help explain why this order is helpful.