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Math Help - Integrating Problem help.

  1. #1
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    Integrating Problem help.

    \int \frac{1-x^2}{1+x^2}.dx

    Please help me, I couldnt solve it. Thank you
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  2. #2
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    Quote Originally Posted by whitepenguin View Post
    \int \frac{1-x^2}{1+x^2}.dx

    Please help me, I couldnt solve it. Thank you
    Note that \frac{1-x^2}{1+x^2} = -1 + \frac{2}{x^2 + 1}.
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  3. #3
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    Quote Originally Posted by whitepenguin View Post
    \int \frac{1-x^2}{1+x^2}.dx

    Please help me, I couldnt solve it. Thank you
    Break it down

    =\int\frac{1}{1+x^2}+\int\frac{x^2}{1+x^2}.

    For the first, look for the \arctan{x}

    For the second, divide...
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  4. #4
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    Quote Originally Posted by VonNemo19 View Post
    Break it down

    =\int\frac{1}{1+x^2}+\int\frac{x^2}{1+x^2}.

    For the first, look for the \arctan{x}

    For the second, divide...
    Actually it's \int{\frac{1}{1 + x^2}\,dx} - \int{\frac{x^2}{1 + x^2}\,dx}.
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  5. #5
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    , How come I coulnt think of that. It's really simple

    Thank you
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  6. #6
    No one in Particular VonNemo19's Avatar
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    Quote Originally Posted by Prove It View Post
    Actually it's \int{\frac{1}{1 + x^2}\,dx} - \int{\frac{x^2}{1 + x^2}\,dx}.
    What am I...like -3 now?
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