Quote:
Originally Posted by Boris B  Dear Perfect H:
I like your method of integration by parts a lot. I haven't tested it yet, so I am still left with one question: is this a complete replacement for u substitution? If so I am very pleased!
Another thing I'm wondering is, are there ever cases in which we can't do the first step, i.e. in which we can't turn one of the factors into a (solvable) derivative? If so, what then? |
This is another way to do integration by parts, not u substitution (Well, integration by parts includes u substitution). This method is the same as the normal integration by parts, but here we don't have to write u, v, du, dv. If there's an insoluble case, then it means integration by parts can't be used there.
There's also tabular integration (tic-tac-toe method) which makes it easier to work with the cases where you need to apply integration by parts more than once.