Answer
$x^{6} - \frac{8x^{5}}{5}-3x^{3} + C$
Work Step by Step
$\int(6x^{5}-8x^{4}-9x^{2})dx$
Use power rule for antiderivatives (antiderivative of $x^{n}$ is $\frac{x^{n+1}}{n+1}$) on each of the three terms:
$\frac{6}{6}x^{6} - \frac{8x^{5}}{5}-\frac{9}{3}x^{3} + C$
Simplify: $x^{6} - \frac{8x^{5}}{5}-3x^{3} + C$
