## AmTran_Bus one year ago Is this an example of a divergent integral?

1. AmTran_Bus

2. AmTran_Bus

Or is there actually a value for I?

3. AmTran_Bus
4. AmTran_Bus

I mean, how can you get an actual number with infinity on top?

5. IrishBoy123

you're integrating f(v) dx. so v is assumed a constant so you get what MW throws at you. makes sense

6. AmTran_Bus

But there is not an x there. Check the screenshot

7. IrishBoy123

there is , and in the MW output

8. AmTran_Bus

So that means it is divergent then, right?

9. AmTran_Bus

@IrishBoy123

10. IrishBoy123

clearly

11. AmTran_Bus

Can you check this answer for me then?

12. IrishBoy123

13. AmTran_Bus

14. AmTran_Bus

I say by what I got from the last problem this one is.

15. dan815

yes

16. dan815

think of all divergent series, represent them in continuos form,

17. AmTran_Bus

Thanks so much dan.

18. dan815

mhm sure :)

19. IrishBoy123

that is a straight integral: $$-\frac{5}{14}e^{-7x^2}$$ from $$- \infty \ to + \infty$$ at $$- \infty$$ to have a problem

20. AmTran_Bus

Ok, that makes some sense. How do I go about these?

21. AmTran_Bus

The one marked was by mistake.

22. AmTran_Bus

Again, I know the same way you are helping me with, but the dx is in a weird place.

23. IrishBoy123

see p test at bottom http://www.sosmath.com/calculus/improper/convdiv/convdiv.html