Question

What is the antiderivative of `12x^3 - 7x`?

Answer 1

`3x^4-(7x^2)/2+C`

Explanation:

knowing the property of integrating polynomials that says:
`color(red)(intx^ndx=x^(n+1)/(n+1))`

`int12x^3-7xdx`
`=int12x^3dx-int7xdx`
`=(12color(red)(x^4))/4-(7color(red)(x^2))/2+C`
`=3x^4-(7x^2)/2+C`