How does integration by parts work ad when to use it?

Integration by parts should be used when you want to integrate a function composed of two factors (we can call them 'u' and 'dv'), where it is fairly easy to derive 'u', while it is difficult or impossible to do it with 'dv'. For instance f(x)=xln(x) should be integrated by parts following 4 steps:Decide which factor is your 'u'. To do this you can almost always use an acronym 'LIATE'. Whichever function of the following: logarithmic, inverse trig., algebraic, trig., exponential, comes first is your 'u'. In our case 'u' = ln(x) as it is a logarithmic function and dv= x dxDerive 'u' to find 'du'. Integrate 'dv' to find 'v'.Apply the formula Integral [(vdv) dx] = uv- integral[(vdu) dx]Solve for the boundaries or add a constant 'c' if these were undefined.I will use the whiteboard to solve the example for you, please stop me and ask if I am going too fast. After this, I will give you some functions to practice with. I want to make sure if you have a good understanding of this topic.