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## Homework Statement

Indefinite integral of (x^2+5x+16)/sqrt(x^2-16x)

## Homework Equations

Trig substitution and identities.

## The Attempt at a Solution

I've tried setting x = 4 sec x but it has turned into a mess, and I really don't know where to go now. Using x, I'm left with

(16sec^2(x)+20sec(x)+64sec(x)tan(x))/sqrt(16sec^2(x)-64sec(x))

But I'm not even sure if I've done this right. Any help would be much appreciated! Thanks!