Integration

[Hughesgames]

Can you till me what is the integral for AB^(x/c) dx where A, B and C are constants. In fact in the particular case I am interested in, A=1, B=1/2 and C takes various values depending on the specific calculation being done. The question pertains to reverse engineering the statement that Methane is x20 as effective a green house gas as Carbon dioxide on a 100 year basis. I am trying to work out what the instantaneous multiplier factor is.
Regards
William
http://mtkass.blogspot.co.nz/2013/03/the-real-strength-of-methane.html

 

[Nehushtan]

Write \(\displaystyle ab^{x/c}\) as \(\displaystyle ae^{(\ln b)(x/c)}\).