What is the integral of 7x^{-5/6} ?

The integral of 7x^{-5/6} is 42x^{1/6}+C

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integral of 7x^{-5/6}

\int 7 x^{- \frac{5}{6}} d x

42 x^{\frac{1}{6}} + C

Solution steps

\int 7 x^{- \frac{5}{6}} d x

Take the constant out:

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

= 7 \cdot \int x^{- \frac{5}{6}} d x

Apply the Power Rule

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

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

Simplify

= 42 x^{\frac{1}{6}}

Add a constant to the solution

= 42 x^{\frac{1}{6}} + C

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