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Thread: Antideriving

  1. #1
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    Antideriving

    How do you antiderive/integrate this?

    $\displaystyle \int\frac{4}{1+x^2}$
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Cursed View Post
    How do you antiderive/integrate this?

    $\displaystyle \int\frac{4}{1+x^2}$
    $\displaystyle \int \frac 4{1 + x^2}~dx = 4 \int \frac 1{1 + x^2}~dx$

    now, $\displaystyle \int \frac 1{1 + x^2}~dx$ is something that should be in your text that you should memorize and never forget. $\displaystyle \int \frac 1{1 + x^2}~dx = \arctan x + C$
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