Register to reply

Integration with i.

by cragar
Tags: integration
Share this thread:
cragar
#1
Apr7-14, 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(t-i)^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.
Phys.Org News Partner Mathematics news on Phys.org
Researcher figures out how sharks manage to act like math geniuses
Math journal puts Rauzy fractcal image on the cover
Heat distributions help researchers to understand curved space
lurflurf
#2
Apr8-14, 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