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Popular Calculus >

integral of 3x^{-7}

Solution

\int 3 x^{- 7} d x

Solution

- \frac{1}{2 x ^{6}} + C

Solution steps

\int 3 x^{- 7} d x

Take the constant out:

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

= 3 \cdot \int x^{- 7} d x

Apply the Power Rule

= 3 (- \frac{1}{6 x ^{6}})

Simplify

3 (- \frac{1}{6 x ^{6}}) : - \frac{1}{2 x ^{6}}

= - \frac{1}{2 x ^{6}}

Add a constant to the solution

= - \frac{1}{2 x ^{6}} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 3x^{-7} ?
The integral of 3x^{-7} is -1/(2x^6)+C