# Need help with Improper Integrals

• Dec 4th 2011, 10:25 AM
mkp23
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!
• Dec 4th 2011, 10:51 AM
skeeter
Re: Need help with Improper Integrals
Quote:

Originally Posted by mkp23
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
• Dec 4th 2011, 06:01 PM
Prove It
Re: Need help with Improper Integrals
Quote:

Originally Posted by mkp23
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*}