- #1

Zoe-b

- 98

- 0

## Homework Statement

The integral of 1/(x^2) between -1 and 1 comes to -2. How is this possible when the graph is always above the x-axis?

**3. The Attempt at a Solution**

the integral of x^(-2) = -x^(-1) + c

in this range you get (-1/1 - 1/1) which does indeed equal 2.

My original solution was to say that since the graph is not continuous in this range it makes no sense to try to find the integral (which should be infinite surely?). Is there more to it than this?

Thanksthe integral of x^(-2) = -x^(-1) + c

in this range you get (-1/1 - 1/1) which does indeed equal 2.

My original solution was to say that since the graph is not continuous in this range it makes no sense to try to find the integral (which should be infinite surely?). Is there more to it than this?

Thanks