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Popular >

integral of (-x^5+9)

Solution

\int (- x^{5} + 9) d x

Solution

- \frac{x ^{6}}{6} + 9 x + C

Solution steps

\int - x^{5} + 9 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= - \int x^{5} d x + \int 9 d x

\int x^{5} d x = \frac{x ^{6}}{6}

\int 9 d x = 9 x

= - \frac{x ^{6}}{6} + 9 x

Add a constant to the solution

= - \frac{x ^{6}}{6} + 9 x + C

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Frequently Asked Questions (FAQ)

What is the integral of (-x^5+9) ?
The integral of (-x^5+9) is -(x^6)/6+9x+C