What is the integral of y^{(-6)/7} ?

The integral of y^{(-6)/7} is 7y^{1/7}+C

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integral of y^{(-6)/7}

integral

y^{\frac{- 6}{7}}

7 y^{\frac{1}{7}} + C

Solution steps

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

Apply the Power Rule

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

= 7 y^{\frac{1}{7}}

Add a constant to the solution

= 7 y^{\frac{1}{7}} + C

\frac{( 5 x + 6 )}{( x ^{2} ( x + 3 ) )}

x \cdot (x + 5)^{8}

tan^{3} (2 x + 1)

(sin (x) + 3)^{- 1}

e^{- 5 x^{5}}