Find the most general antiderivative or indefinite integral.

asked Aug 16, 2024 146k views

3 votes

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2 votes

Answer:

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

Explanation:

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

KaroluS answered Aug 21, 2024