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Popular >

integral of (x^5-9+6/(x^7))

Solution

\int (x^{5} - 9 + \frac{6}{x ^{7}}) d x

Solution

\frac{x ^{6}}{6} - 9 x - \frac{1}{x ^{6}} + C

Solution steps

\int x^{5} - 9 + \frac{6}{x ^{7}} 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 \frac{6}{x ^{7}} d x

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

\int 9 d x = 9 x

\int \frac{6}{x ^{7}} d x = - \frac{1}{x ^{6}}

= \frac{x ^{6}}{6} - 9 x - \frac{1}{x ^{6}}

Add a constant to the solution

= \frac{x ^{6}}{6} - 9 x - \frac{1}{x ^{6}} + C

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Frequently Asked Questions (FAQ)

What is the integral of (x^5-9+6/(x^7)) ?
The integral of (x^5-9+6/(x^7)) is (x^6)/6-9x-1/(x^6)+C