Question

Find the most general antiderivative or indefinite integral.

Answer 1

`-(1)/(4)x^(-4)-(1)/(6)x^6-(1)/(9)x+C`

Explanation:

`\displaystyle \int\biggr((1)/(x^5)-x^5-(1)/(9)\biggr)\,dx\\\\=\int\biggr(x^(-5)-x^5-(1)/(9)\biggr)\,dx\\\\=-(1)/(4)x^(-4)-(1)/(6)x^6-(1)/(9)x+C`