- #1

rocapp

- 95

- 0

## Homework Statement

∫

_{-∞}

^{∞}(dx/x

^{2})

## Homework Equations

## The Attempt at a Solution

∫(dx/x

^{2}) = -1/x

(-1/∞) - (-1/-∞) = 0

However, the answer is that the integral diverges. Why is this the case?

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter rocapp
- Start date

- #1

rocapp

- 95

- 0

∫

∫(dx/x

(-1/∞) - (-1/-∞) = 0

However, the answer is that the integral diverges. Why is this the case?

- #2

- 3,475

- 257

[tex]\int_{-\infty}^{0} dx/x^2 + \int_{0}^{\infty} dx/x^2[/tex]

You can easily check that both of these integrals diverge to [itex]\infty[/itex].

- #3

rocapp

- 95

- 0

Thanks! I forgot that it was dependent on the function being continuous.

Share:

- Last Post

- Replies
- 7

- Views
- 151

- Replies
- 5

- Views
- 648

- Last Post

- Replies
- 15

- Views
- 458

- Last Post

- Replies
- 6

- Views
- 211

- Replies
- 3

- Views
- 253

- Replies
- 4

- Views
- 341

- Replies
- 13

- Views
- 880

- Last Post

- Replies
- 3

- Views
- 920

- Replies
- 7

- Views
- 762

- Last Post

- Replies
- 4

- Views
- 504