Is Integration by parts the only way?

1. Mar 1, 2009

No, it is not always the case, sometimes a simple u substitution will work. For instance the integral of the function$$xe^{x^2}$$ w.r.t. x simply let $$u=x^2$$ works fine. However if one cannot identify a proper 'u' then integration by parts will usually be a valid option. There is no 'one' rule when integrating functions or product of functions.