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Calculus

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"Find the antiderivative of f(x)= (2x)/((x^2)+1)."

I understood how to do it with just a number as the numerator, but I can't figure it out with x in the numerator..

  • Calculus -

    antiderivative of f(x)= (2x)/((x^2)+1)
    let u = x^2+1
    then du = 2 x dx
    and you have
    du/u
    ln u + c
    ln (x^2+1) + c

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