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

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lmm5arual
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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
 
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Yup, that doesn't sound right.

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