Question

Evaluate the indefinite integral.

Answer 1

Answer:

$\frac{1}{3} x^3 - x^2 + 4x$

Step-by-step explanation:

All this takes is the use of the power rule, which, for integrals, says that

∫$x^n$ = $\frac{1}{n+1}x^{n+1}$.

With this in mind, we can integrate:

∫$x^2 - 2x + 4$

= $\frac{1}{3} x^3 - x^2 + 4x$.

We can also check our answer by differentiating our answer:

$\frac{d}{dx} (\frac{1}{3}x^3 - x^2 + 4x)\\\\ = x^2 - 2x + 4$

so we are correct!

hope this helped!