- #1
Charismaztex
- 45
- 0
Homework Statement
The question is integrate
[tex]\int_0^1 (2+\frac{1}{x+1}+\frac{2x+1}{x^2+4}) dx[/tex]
Homework Equations
[tex]\int_0^1 (2+\frac{1}{x+1}+\frac{2x+1}{x^2+4}) dx =2 + ln(\frac{5}{2}) +\frac{1}{2}arctan(\frac{1}{2})[/tex] (yes, it's a prove question)
The Attempt at a Solution
The first two parts I have no problem but I am not quite sure how to integrate the
[tex]\frac{2x+1}{x^2+4}[/tex] part. I know it has to do with arctan but I'm not quite sure about the [tex]2x+1[/tex] part.
Thanks in advance,
Charismaztex