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Math Help - proving the indefinite integral of secant

  1. #1
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    proving the indefinite integral of secant

    There was a discrepancy in class as to the correct indefinate integral of secant between these 2 below. My teacher actually thinks both them are correct, but i honestly have no idea how. Could anyone help point out how they are both can be right?


    and

    Last edited by Evan.Kimia; July 20th 2010 at 09:25 PM. Reason: wrong image of the first integral
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  2. #2
    Senior Member apcalculus's Avatar
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    See attached for the first answer.

    For the second one, apply u-substitution as shown step by step at:
    Integral sec(x)

    Good luck!
    Attached Thumbnails Attached Thumbnails proving the indefinite integral of secant-sec_x.png  
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  3. #3
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    amazing. thank you.
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