Question

integration of cos ((2*pi*a)/x) where limit 0 to a

Answer 1

i dont believe that integral has a primitive in terms of elementary funtions

Answer 2

what possible substitutions may work?

Answer 3

http://www.wolframalpha.com/input/?i=integrate%5Bcos%282pi+a%2Fx%29%2C%7Bx%2C+0%2C+a%7D%5D
put a=1 and 1/x = y, you will get it in terms of sine integral

Answer 4

@experimentX : but then there will be a limit infinity...& can not get a finite result...

Answer 5

if the integration converges then you will have the result.