Question

How do you find the antiderivative of `f(x)=8x`?

Answer 1

`4x^2 + C`

Explanation:

Use the standard power rule for integration,

`intax^ndx = (ax^(n+1))/(n+1) + C`

so

`int8x^1dx = (8x^2)/2 + C = 4x^2 + C`