Integration by Parts

[blinlim]

i was having a few problems with my homework:

6)


iv tried a few different methods, the only thing I'm sure of is that should be done with integration by parts. Any pointers would be great.

 

[Deleted member 4993]

i was having a few problems with my homework:

6) View attachment 3697


iv tried a few different methods, the only thing I'm sure of is that should be done with integration by parts. Any pointers would be great.

u = ln(x) → du = dx/x
dv = dx/x³ → v = -1/(2x²)

 

[stapel]

iv tried a few different methods, the only thing I'm sure of is that should be done with integration by parts.

If you know that you're supposed to use integration by parts, then what other methods were you trying, and why? What results did you achieve? Where are you stuck?

Please be complete. Thank you!