How to Evaluate ∫ sec^2(x)/√(tanx) Using U-Substitution?

[lmm5arual]

Homework Statement

Evaluate the indefinite integral: sec^2(x)/√(tanx)

Homework Equations

The Attempt at a Solution

When I tried this, I got -csc/(2/3)(secxtanx)^(3/2)+C

 

[micromass]

That is not correct. Can you show me the steps of how you did this?

 

[Crwth]

Yup, that doesn't sound right.

Be careful when you're picking u for a u-substitution...