Thanks to all of the help on my comments, I now understand how to integrate fractions!!
But, if they tell you to just integrate tan...all you do is sinx/cosx? (+ C if it's indefinite?)
And for substitution (I think I have this) you can alter the problem with the u and du in it to make du the derivative of u, right? If that makes any sense.
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You integrate sin(x)/cos(x) because then you can use ln integration since sin is the derivative of cos. Thus, the answer to the integral of tangent is -lnIcos(x)I + c. Yes your idea of substitution is correct.
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