A problem with Integration by Parts in Hartle's "Gravity"

Abtinnn
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Hi guys!

I am reading the book "Gravity" by Hartle. I came across this scary-looking integral. The author does integration by parts and I don't get how he does it. Could someone guide me please?

Relevant equations:

∫u dv = uv - ∫v du
 

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Hi,
 
Sorry - I'm new to the physics forum and posted nothing as a reply by mistake. See if this helps:

:
forum answer 001.jpg
 
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Asher Weinerman said:
Sorry - I'm new to the physics forum and posted nothing as a reply by mistake. See if this helps:

:View attachment 80950

Wow!
Thanks a lot! It really helped!
I really really appreciate it :)

P.S. I am kinda new too. Welcome to PF :D
 
Oops - I forgot a term in my derivation. Here is the corrected version:
physics 2 forum 001.jpg
 
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