What technique of integration to use here?

[shawshank]

hey, this isn't really a homework problem but I have this integral that I can't solve cause i haven't studied techniques of integration.

Any suggesstions

\int\frac{1}{\sqrt{12x+0.02x^2}}

 

[Dick]

First you want to complete the square inside of the square root. You'll get something like a*(x+b)^2-c. Then do a trig substitution like c*sec(u)^2=a*(x+b)^2. Try it.