Register to reply 
Integration with i.by cragar
Tags: integration 
Share this thread: 
#1
Apr714, 11:23 PM

P: 2,468

i was trying to integrate [itex] \frac{1}{(t^2+1)^2} [/itex]
By factoring it into [itex] \frac{1}{(t+i)^2(ti)^2} [/itex] and then doing partial fractions. then integrating each term using a u substitution. Ok but then how do I get the real part out of this solution. I know the arctan(t) can be extracted out of stuff of this form. 


#2
Apr814, 12:17 AM

HW Helper
P: 2,264

use
$$\arctan(x)=\tfrac{1}{2}\imath \, (\log(1\imath\, x)\log(1+\imath\, x))$$ 


Register to reply 
Related Discussions  
Numerical integration, use given random distribution as integration points  Calculus  12  
Integration by parts, help me understand why the integration limits changed.  Calculus & Beyond Homework  2  
Integration of dirac delta composed of function of integration variable  Calculus & Beyond Homework  3  
Calc BC  Integration Problem involving Constants of Integration and Related Rates  Calculus & Beyond Homework  5  
Question arrising from integration homework (advanced integration i guess?)  Calculus  9 