Question

How do you evaluate the definite integral `int(e^x)dx` from `[-1,0]`?

Answer 1

`1-1/e`

Explanation:

`e^x" "` remains unchanged on either differentiating or integrating.

`int_-1^0e^xdx`

`=[e^x]_-1^0`

`e^0-e^-1`

`1-1/e`