Question

Use the form of the definition of the integral given in theorem 4 to evaluate the integral x^3-3x^2

Answer 1

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