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Popular >

integral of 1/(3w^9)

Solution

\int \frac{1}{3 w ^{9}} d w

Solution

- \frac{1}{24 w ^{8}} + C

Solution steps

\int \frac{1}{3 w ^{9}} d w

Take the constant out:

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

= \frac{1}{3} \cdot \int \frac{1}{w ^{9}} d w

Apply the Power Rule

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

= \frac{1}{3} (- \frac{1}{8 w ^{8}})

Simplify

\frac{1}{3} (- \frac{1}{8 w ^{8}}) : - \frac{1}{24 w ^{8}}

= - \frac{1}{24 w ^{8}}

Add a constant to the solution

= - \frac{1}{24 w ^{8}} + C

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Frequently Asked Questions (FAQ)

What is the integral of 1/(3w^9) ?
The integral of 1/(3w^9) is -1/(24w^8)+C