Thread: Need help with Improper Integrals

1. 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!

2. Re: Need help with Improper Integrals

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

3. Re: Need help with Improper Integrals

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 \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*}