Hi guys, i have an exam tomarrow in calc II and i have been having the same problem with integrals of ln in quotients

for example, i know through the answer key and my TI89 that

and

and

but im really not sure how they go about getting this, i shouldnt have to use IBP or some real complicated method because its past that section (im actually in the integral test of infinite series) and even in the step wise explanation it just goes from the integral to the solution like its a simple mental integral.

Can anybody explain the shortcut they are using?

Thanks so much