Question

The antiderivative of 5x

Answer 1

`(5)/(2) x^2`

Explanation:

For simple antiderivatives like this, I usually add a degree to the x. (
`x^(n+1)`)

In this case it is
`x^(1+1)` or
`x^(2)`.

Then, I take the coefficient and divide it by the new power degree. (
`(a)/(n) x^(n)`)

In this case it is
`(5)/(2) x^(2)`.

Answer 2

The antiderivate of 5x is 5x^2 / 2 .