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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- Dec 4th 2011, 10:25 AMmkp23Need 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!

- Dec 4th 2011, 10:51 AMskeeterRe: Need help with Improper Integrals
- Dec 4th 2011, 06:01 PMProve ItRe: Need help with Improper Integrals
If $\displaystyle \displaystyle \begin{align*} F(x)\end{align*} $ is an antiderivative of $\displaystyle \displaystyle \begin{align*} f(x) \end{align*} $, then

$\displaystyle \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*} $