What is the integral of 6x^{-4/5} ?

The integral of 6x^{-4/5} is 30x^{1/5}+C

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integral of 6x^{-4/5}

\int 6 x^{- \frac{4}{5}} d x

30 x^{\frac{1}{5}} + C

Solution steps

\int 6 x^{- \frac{4}{5}} 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{4}{5}} d x

Apply the Power Rule

= 6 \cdot 5 x^{\frac{1}{5}}

Simplify

= 30 x^{\frac{1}{5}}

Add a constant to the solution

= 30 x^{\frac{1}{5}} + C