Homework Help: Improper integral concept help.

1. Oct 6, 2007

frasifrasi

Ok, my book has the example int from -1 to 2 of dx/x^3

this gets split into int from -1 to 0 of dx/x^3 and int from 0 to 2 of dx/x^3.

Now, he had previously determined that the second integral returned positive infinity (diverges) by taking the lim as b approaches 0+.

So, the book goes on to say that since the second integral diverges the original integral also diverges.

--> but what does that mean? is "divergers" the answer to "evaluate the int from -1 to 2 of dx/x^3" ? Or does it mean the the answer is just infinity?

Can anyone explain?

2. Oct 6, 2007

arildno

It means that it diverges.

3. Oct 6, 2007

frasifrasi

so what is the answer ??? what does this mean ?? what should I conclude from this? does it mean that I shoudl stope evaluating the original improper integral???

I would appreciate HELPFUL input. If you aren't going to clarify the solution, please igonre the thread.

4. Oct 6, 2007

arildno

There is none.
That the expression is meaningless.
Quite so.