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Hey guys I have a question

 
 
Surena
 
Reply Fri 11 Feb, 2011 06:14 pm
Hey gyus do me favor, how to solve this problem
I marked Integral =/ I need to solve integral of 5 natural log.

/ ( 5 ln x+3))/x dx (Please remind me some of rules )


I did like this: / (5ln x+3) x1/x dx
u=5ln x+3
du= 5/(x+3) dx
1/5 du=1/(x+3)dx Then what step do do?????????????????



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tarchira
 
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Reply Sun 27 Mar, 2011 05:29 am
@Surena,
@surena
i am assuming ur problem is like: integral [(5lnx+3)/x]dx.
u can separate it like Integral[(5lnx/x)dx+ (3/x)dx]
for the first term let lnx = u
differtiate gives wrt x, dx/x = du
so, 5lnx/x becomes 5*u du. now u can do it.
and the second term has direct integral i.e 3 lnx.
hope this helps.
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