What is the integral of 6x^{-6/7} ?

The integral of 6x^{-6/7} is 42x^{1/7}+C

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integral of 6x^{-6/7}

\int 6 x^{- \frac{6}{7}} d x

42 x^{\frac{1}{7}} + C

Solution steps

\int 6 x^{- \frac{6}{7}} d x

Take the constant out:

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

= 6 \cdot \int x^{- \frac{6}{7}} d x

Apply the Power Rule

: 7 x^{\frac{1}{7}}

= 6 \cdot 7 x^{\frac{1}{7}}

Simplify

= 42 x^{\frac{1}{7}}

Add a constant to the solution

= 42 x^{\frac{1}{7}} + C

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