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Popular Calculus >

integral of 4/(x^9)

Solution

\int \frac{4}{x ^{9}} d x

Solution

- \frac{1}{2 x ^{8}} + C

Solution steps

\int \frac{4}{x ^{9}} d x

Take the constant out:

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

= 4 \cdot \int \frac{1}{x ^{9}} d x

Apply the Power Rule

= 4 (- \frac{1}{8 x ^{8}})

Simplify

4 (- \frac{1}{8 x ^{8}}) : - \frac{1}{2 x ^{8}}

= - \frac{1}{2 x ^{8}}

Add a constant to the solution

= - \frac{1}{2 x ^{8}} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 4/(x^9) ?
The integral of 4/(x^9) is -1/(2x^8)+C