∫ cos x / (sin² x + 2sinx) dx you must use tables in back of calculus book.

Question

∫ cos x / (sin² x + 2sinx) dx     you must use tables in back of calculus book.

hartnn · Answer

plug in u = sin x

hartnn · Answer

then du = ... ?

hartnn · Answer

@Josh_S , you there buddy ?

anonymous · Answer

im here

anonymous · Answer

i understand how to do it that way, but this section requires you to use the tables in the back of the book. im not sure which table to use.

anonymous · Answer

sorry if you dont have  a book handy

hartnn · Answer

then i won't know which formulas r there in the back...and hence which to use.....do u have any guesses on which can be used ?

anonymous · Answer

i could take pictures of the tables and attach the files?

hartnn · Answer

yes, you could.
but that would take time, if you have, go on

anonymous · Answer

anonymous · Answer

i tried uploading pictures it didnt work

hartnn · Answer

that.is.a.long.list -_-
searching....

anonymous · Answer

sorry, thanks!

hartnn · Answer

gotcha!
49 !

hartnn · Answer

u (a+bu)

anonymous · Answer

i wanted one that was du/u^2 + 2u but theres not any

hartnn · Answer

after plugging in sin x = u 
we get, in the denominator as u^2+2u = u (2+u)
a=2, b=1
got this ?

anonymous · Answer

what number is that one im looking for it

hartnn · Answer

look for 49 th !

anonymous · Answer

you sir are a genuis

hartnn · Answer

lol, no sir! i just have good amount of practice :) 
you practice more, you'll be a greater genius than me ;)

anonymous · Answer

thanks!!! im about to post another question in a minute if you want to tackle that one too. :)

hartnn · Answer

i would like to :)
i love integration!