Here are some problems that I did:
#1. 1/(xlnx) =ln|ln|x||
#2. lnx/x =ln^2x/2
#3 lnx/sqrtx =2sqrtx*lnx -4sqrtx
I was able to use the u substitution on the first 2 problems, but I had no idea how to approach the 2nd problem until I looked at videos and saw that integration by parts was being used.
How do I know that integration by parts is used on the #3 problem and not on the others without just having lots of experience? Is there a way to tell?
Any ideas are appreciated!
#1. 1/(xlnx) =ln|ln|x||
#2. lnx/x =ln^2x/2
#3 lnx/sqrtx =2sqrtx*lnx -4sqrtx
I was able to use the u substitution on the first 2 problems, but I had no idea how to approach the 2nd problem until I looked at videos and saw that integration by parts was being used.
How do I know that integration by parts is used on the #3 problem and not on the others without just having lots of experience? Is there a way to tell?
Any ideas are appreciated!