Question

in integrating by parts (calculus) .. can anyone give me steps on how to , because most of the time i don't know what to do next.

Answer 1

\[\int\limits u dv=uv- \int\limits v du\]
you will need to choose
u (something to differentiate) and dv (something to integrate)(easy)
example:
\[\int\limits\limits x sinx dx\]
u=x dv=sinx
du=dx v=-cosx
\[\int\limits\limits x sinx dx\]=\[-x cosx- \int\limits -cosx dx=-xcosx+\int\limits cosx\]
=-x cosx +sinx +c