Integration using given substitution difficulty.
Hello again,
Just when I think I'm getting it I realize I'm really not.
I have no idea how to approach this question, I have a bunch like this to do and would really appreciate some help.
The question is, using the substitution:
)
Evaluate the integral:
\tan(x)\sqrt{1 + \tan(x)} dx)
I know that:
 = u^2 - 1)
that  = \tan^2(x) + 1)
and that })
but have no idea how to proceed. I have looked in all my text books but can't't find an example similar enough to help me figure out what to do.
Thank you.
Re: Integration using given substitution difficulty.
Use implicit differentiation to find du/dx
From
)
Replace
)
with 
And replace )
with 
