Integral X^5-1/X^2 dx

[tex] {x}^{5} - \frac{1}{ {x}^{2} } \: \: dx \\ = \frac{1}{5 + 1} {x}^{5 + 1} - {x}^{ - 2} \\ = \frac{1}{6} {x}^{6} - \frac{1}{ - 2 + 1} { {x}^{ - 2 + 1} } \\ = \frac{1}{6} {x}^{6} - \frac{1}{ - 1} {x}^{ - 1} \\ = \frac{1}{6} {x}^{6} + \frac{1}{x} [/tex]