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Math Help - Calculus: Integral of (x)/(1+4x^2) dx?

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    Calculus: Integral of (x)/(1+4x^2) dx?

    I have a couple of problems that look a lot like this in my homework. It looks like an inverse tangent but I dont know how to approach it b.c there is the x in the numerator. Any help is much appreciated!
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    Hello,
    Quote Originally Posted by serendipituous View Post
    I have a couple of problems that look a lot like this in my homework. It looks like an inverse tangent but I dont know how to approach it b.c there is the x in the numerator. Any help is much appreciated!
    Just substitute t=1+4x
    And note that dt=8x dx ---> dx=dt/(8x)
    so the x will be cancelled out
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