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Math Help - Need help with Improper Integrals

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    Need help with Improper Integrals

    Hey, can anyone help me out with this? I had to miss class due to holidays and now I am so confused! Calc4 | Flickr - Photo Sharing!
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    Re: Need help with Improper Integrals

    Quote Originally Posted by mkp23 View Post
    Hey, can anyone help me out with this? I had to miss class due to holidays and now I am so confused! Calc4 | Flickr - Photo Sharing!
    Pauls Online Notes : Calculus II - Improper Integrals
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    Re: Need help with Improper Integrals

    Quote Originally Posted by mkp23 View Post
    Hey, can anyone help me out with this? I had to miss class due to holidays and now I am so confused! Calc4 | Flickr - Photo Sharing!
    If \displaystyle \begin{align*} F(x)\end{align*} is an antiderivative of \displaystyle \begin{align*} f(x) \end{align*} , then

    \displaystyle \begin{align*} \int_a^{\infty}{f(x)\,dx} = \lim_{\epsilon \to \infty}\int_a^{\epsilon}{f(x)\,dx} = \lim_{\epsilon \to \infty}F(\epsilon) - F(a) \end{align*}
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