How would you do this integral?

[Random Variable]

Is there a way to do it without looking it up in a table?

?df/(d²-2dRcosf+R²) where d and R are constants

 

[acemcmac]

Plan A: By plugging it into my calculator :beer:
Plan B: Ask someone to show me how to plug it into my calculator :beer::beer::beer:

 

[BlueFlamme]

It reminds me of a trig-substitution problem. Can't remember details tho.

 

[hypn0tik]

Complex residues

 

[Random Variable]

Maple gives me back a mess.

2*arctan[tan(1/2*x)*(d^2+2*d*R+R^2)/sqrt((d^2-2*d*R+R^2)*(d^2+2*d*R+R^2))]/sqrt((d^2-2*d*R+R^2)*(d^2+2*d*R+R^2))