💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

WZ

# (a) Show that $\displaystyle \int_{-\infty}^\infty x\ dx$ is divergent.(b) Show that $$\lim_{t\to\infty} \int_{-t}^t x\ dx = 0$$This shows that we can't define$$\int_{-\infty}^\infty f(x)\ dx = \lim_{t\to\infty} \int_{-t}^t f(x)\ dx$$

## a. $I$ is divergent.b. $\int_{-\infty}^{\infty} x d x \neq \lim _{t \rightarrow \infty} \int_{-t}^{t} x d x$

#### Topics

Integration Techniques

### Discussion

You must be signed in to discuss.
##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

Lectures

Join Bootcamp

### Video Transcript

on a mission integral of axe. From negative infinity to infinity. Isn't he going to know this function this integral Tonto? And to go from negative infinity twosome Causton number Here are a zero X yaks us into drove from zero to infinity. Yes. Now look at the first intro. But that mission, this is the limit. It goes to negative infinity of of the integral from H Q zero Thie axe. This is a code two Lim. It goes to connect your unity one over X when there were two times x square from age to zero. This is the limit. It goes to making your ability. I'm Cyril minus one over two times a square on a goes to factory Infinity, Esquire goes to positive Infinity. This is going to thank you. So integral axe from negative infinity to infinity. T X is downward b first compute the definite into girl from Thank you, T. Hey, ask Jax. This's a go to one half. I squired from making tea. This's equal one. The right one over two times is square minus Connective Squire, this is Cyril. Now lay mead. He goes to infinity off zero just zero limited zero zero We improved B thiss shows that we can not define our faxed e x from negative infinity to infinity. Is he going to Lim? He goes to infinity off the definitely grow off a fax from next twenty two team.

WZ

#### Topics

Integration Techniques

##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

Lectures

Join Bootcamp