The exponential function is a nice function since its derivative and antiderivative are the same. So for the integration by parts, this function has the same behavior whether we differentiate it or take its antiderivative. Therefore the focus should be on the other function involved in the integration. In this case, we must differentiate because its derivative gives the constant 1.
It is a common mistake to forget the constant .
If you prefer to jump to the next problem, click on Next Problem below.
Do you need more help? Please post your question on our S.O.S. Mathematics CyberBoard.
Mohamed A. Khamsi