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Popular >

integral of-8/(x^9)

Solution

\int - \frac{8}{x ^{9}} d x

Solution

\frac{1}{x ^{8}} + C

Solution steps

\int - \frac{8}{x ^{9}} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - 8 \cdot \int \frac{1}{x ^{9}} d x

Apply the Power Rule

: - \frac{1}{8 x ^{8}}

= - 8 (- \frac{1}{8 x ^{8}})

Simplify

- 8 (- \frac{1}{8 x ^{8}}) : \frac{1}{x ^{8}}

= \frac{1}{x ^{8}}

Add a constant to the solution

= \frac{1}{x ^{8}} + C

Graph

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\int 6 x cos (2 x) d x

Frequently Asked Questions (FAQ)

What is the integral of-8/(x^9) ?
The integral of-8/(x^9) is 1/(x^8)+C