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

The integral of 5/6 x^{6/5} is 25/66 x^{11/5}+C

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integral of 5/6 x^{6/5}

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

\frac{25}{66} x^{\frac{11}{5}} + C

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

: \frac{5}{11} x^{\frac{11}{5}}

= \frac{5}{6} \cdot \frac{5}{11} x^{\frac{11}{5}}

Simplify

\frac{5}{6} \cdot \frac{5}{11} x^{\frac{11}{5}} : \frac{25}{66} x^{\frac{11}{5}}

= \frac{25}{66} x^{\frac{11}{5}}

Add a constant to the solution

= \frac{25}{66} x^{\frac{11}{5}} + C

f (x) = 12 x + x^{2} - x^{3}, g (x) = 0

\frac{s - 7}{s + 3}

\frac{( x ^{2} )}{x + 7}

\frac{\partial}{\partial x} (x^{2} + y^{2} + (x + y)^{2})

\frac{\partial}{\partial x} (\frac{1}{( 1 + e ^{- x} )})

What is the integral of 5/6 x^{6/5} ?
The integral of 5/6 x^{6/5} is 25/66 x^{11/5}+C