Question

How do you find the antiderivative of `e^-x`?

Answer 1

`= - e^(-x) + C`

Explanation:

Let
`" "`
`u(x) = e^(-x)`
`" "`
`du(x) = - e^(-x)dx`
`" "`
`rArr - du(x) = e^(-x)dx`
`" "`
`" "`
`inte^(-x)dx`
`" "`
`= int-du(x)`
`" "`
`=-u(x) + C" " C` is a constant
`" "`
`= - e^(-x) + C`