How to integrate int x/(x^2+1)dx

  • Thread starter naspek
  • Start date
181
0
[tex]\int{\left(\frac{x}{x^2 + 1}\right)\,dx}[/tex]

how to integrate?
i know [tex]\int{\left(\frac{1}{x^2 + 1}\right)\,dx}[/tex]
is tan^-1 x + C

how am i going to start answering this question
1. The problem statement, all variables and given/known data



2. Relevant equations



3. The attempt at a solution
 

rock.freak667

Homework Helper
6,230
27
Re: Integration

try substituting u=x2+1, du=?
 
181
0
Re: Integration

try substituting u=x2+1, du=?
meaning.. i should u integration by substitution?
 
867
0
Re: Integration

Yes, try the u substitution.
 
181
0
Re: Integration

got it..
1/2 ln |x^2 + 1| + C

correct?
 
867
0
Re: Integration

That's right. One thing though: since x2 + 1 is always greater than 0, no absolute values are needed.
 

Want to reply to this thread?

"How to integrate int x/(x^2+1)dx" You must log in or register to reply here.

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving

Top Threads

Top