Integral question

[uberathlete]

Hi everyone. I've been having trouble integrating the following function:

1 / [ 5^x + 5x]

I'm not sure how integration by parts or by trig substitution would work on this. If anyone could steer me in the right direction it would be much appreciated. Thanks!

 

[tkhunny]

None of the above.

Do you expect that there is a solution in elementary functions? If so, why?