Trigonometric Integration

1. Jan 28, 2008

1. The problem statement, all variables and given/known data

$$\int\frac{secx}{(tanx)^2}$$dx

3. The attempt at a solution
I tried all the u subs u=tanx and u=secx
but neither worked.
Should I used other methods?

2. Jan 28, 2008

HallsofIvy

Staff Emeritus
You might try reducing this to sine and cosine. sec x= 1/cos x and tan x = sin x/cos x so this is
$$\int \frac{1}{cos x}\frac{cos^2 x}{sin^2 x} dx= \int \frac{cos x}{sin^2 x} dx$$

Anything come to mind now?