Improving Trigonometric Integration

[ada0713]

Homework Statement

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

The Attempt at a Solution

I tried all the u subs u=tanx and u=secx
but neither worked.
Should I used other methods?
Please help me with the start!

 

[HallsofIvy]

Homework Statement

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

The Attempt at a Solution

I tried all the u subs u=tanx and u=secx
but neither worked.
Should I used other methods?
Please help me with the start!

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?