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Math Help - u substitution

  1. #1
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    Oct 2008
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    u substitution

    What would I let "u" be in this case and why??


    Evaluate the indefinite integral.

    I dont know the integral button forgive me -> !sec 2x tan 2x dx
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  2. #2
    Super Member
    Joined
    Jun 2008
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    You sub u = \sec{2x} because differentiating it produces du = 2\sec{2x}\tan{2x}~dx and consequently:

    \int \sec{2x}\tan{2x}~dx=\frac{1}{2}\int du = \ldots
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