Next: Multiple Applications of Integration Up: Integration by Parts Previous: Integration by Parts

Evaluating tex2html_wrap_inline402 and tex2html_wrap_inline404

As an example, let's integrate the function tex2html_wrap_inline402 . If we let u = x and tex2html_wrap_inline410 then du = dx and tex2html_wrap_inline414 . This leaves us with

equation165

That's not so bad. Very often, it is easy to decide what to make u and v. But how about integrating tex2html_wrap_inline404 ? There's only one function! The trick here is to let tex2html_wrap_inline422 and dv = dx. Then du = (1/x)dx and v = x so the integral becomes

equation167



Vector Calculus
Sun Aug 3 11:17:56 MST 1997