- #1

- 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?

- Thread starter rocapp
- Start date

- #1

- 95

- 0

∫

∫(dx/x

(-1/∞) - (-1/-∞) = 0

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

- #2

- 3,394

- 180

[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

- 95

- 0

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

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