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

The integral of 5x^{-6/7} is 35x^{1/7}+C

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integral of 5x^{-6/7}

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

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

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

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

= 5 \cdot 7 x^{\frac{1}{7}}

Simplify

= 35 x^{\frac{1}{7}}

Add a constant to the solution

= 35 x^{\frac{1}{7}} + C

x \to 3 lim (\frac{x - 2}{6 - 2 x})

y = \frac{1}{cos ( \frac{x}{2} )}

\int 216 x^{2} cos (6 x) d x

\frac{\partial}{\partial y} (x^{\frac{2}{3}} y^{\frac{1}{3}})

x \to 3 lim (- \frac{3}{7} x + \frac{4}{11})