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Popular >

integral of 4x^{-7}

Solution

\int 4 x^{- 7} d x

Solution

- \frac{2}{3 x ^{6}} + C

Solution steps

\int 4 x^{- 7} d x

Take the constant out:

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

= 4 \cdot \int x^{- 7} d x

Apply the Power Rule

: - \frac{1}{6 x ^{6}}

= 4 (- \frac{1}{6 x ^{6}})

Simplify

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

= - \frac{2}{3 x ^{6}}

Add a constant to the solution

= - \frac{2}{3 x ^{6}} + C

Graph

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\int \frac{2 x + 4}{( 3 x ^{2} + 12 x ) ^{5}} d x

Frequently Asked Questions (FAQ)

What is the integral of 4x^{-7} ?
The integral of 4x^{-7} is -2/(3x^6)+C