Answer:
[tex]\frac{1}{3} x^3 - x^2 + 4x[/tex]
Step-by-step explanation:
All this takes is the use of the power rule, which, for integrals, says that
∫[tex]x^n[/tex] = [tex]\frac{1}{n+1}x^{n+1}[/tex].
With this in mind, we can integrate:
∫[tex]x^2 - 2x + 4[/tex]
= [tex]\frac{1}{3} x^3 - x^2 + 4x[/tex].
We can also check our answer by differentiating our answer:
[tex]\frac{d}{dx} (\frac{1}{3}x^3 - x^2 + 4x)\\\\ = x^2 - 2x + 4[/tex]
so we are correct!
hope this helped!
