Question

What is the antiderivative of `(2x^4)+(4x^3)+(3x^2)+2x+4`?

Answer 1

`=(2x^5)/5+x^4+x^3+x^2+4x+C`

Explanation:

Power Rule

`color(green)(intx^n=x^(n+1)/(n+1)+C`

`int(2x^4+4x^3+3x^2+2x+4)`

`=(2x^5)/5+x^4+x^3+x^2+4x+C`