Need help desperately - seems like a simple integral?

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Posted by Dartchen on August 29, 2002 at 12:00:30:

Was given a problem that originally seemed simple but I think I'm making some conceptual errors on.

integral tan(x^1/2)dx

My original thoughts on the solution would be substitution

x^1/2 = u
du = 1/2x dx

2 integral (sin(u)/cos(u))du

cos(u) = t
dt = -sin(u)du

sooo... -2integral dt/t = -2ln|t|+C
-2ln|cos(u)|+C

-2ln|cos(x^1/2)|+C ??

I'm probably way off but any hints/help would be GREATLY appreciated!!

Thanks!!

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