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Math Help - [Help] problem with antiderivatives and substitution

  1. #1
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    [Help] problem with antiderivatives and substitution

    hi guys Good day, please help me to solve my problem. This will be my reviewer in my prelims. i have an answer in antiderivatives but I am not sure. In substitution , I am having a hard time in solving that one problem. PLease show me your solution. thanks

    ANTIDERIVATIVES


    SUBSTITUTION
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  2. #2
    MHF Contributor MarkFL's Avatar
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    Re: [Help] problem with antiderivatives and substitution

    For the first one, I would write the result as:

    2\left(\ln|x|-\frac{1}{x} \right)+C

    The second integral is an elliptic integral. Are you sure it is copied correctly?

    edit: a point that might coist you marks on an exam...you are omitting the differentials from your integrals.
    Last edited by MarkFL; December 16th 2012 at 03:25 AM.
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  3. #3
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    Re: [Help] problem with antiderivatives and substitution

    yeah,, im very sure, i had copy it correctly. can you show me your solution to my first question? thanks
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  4. #4
    MHF Contributor MarkFL's Avatar
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    Re: [Help] problem with antiderivatives and substitution

    I wrote in my first post how I would express the anti-derivative. You could also write it as:

    \ln(x^2)-\frac{2}{x}+C
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  5. #5
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    Re: [Help] problem with antiderivatives and substitution

    i see,, i almost got the right answer. thanks MarkFL2.. anyone who can help me to solve my problem in integration by substitution. ?
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  6. #6
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    Re: [Help] problem with antiderivatives and substitution

    hi guys ,, can someone help me to solve my problem in substitution?
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