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Popular >

integral of x^{-1/6}

Solution

\int x^{- \frac{1}{6}} d x

Solution

\frac{6}{5} x^{\frac{5}{6}} + C

Solution steps

\int x^{- \frac{1}{6}} d x

Apply the Power Rule

: \frac{6}{5} x^{\frac{5}{6}}

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

Add a constant to the solution

= \frac{6}{5} x^{\frac{5}{6}} + C

Popular Examples

integral from-2 to 2 of 1/(sqrt(4-x^2))

\int_{- 2}^{2} \frac{1}{4 - x ^{2}} d x

derivative of y=6x+10/3 derivative of

y = 6 x + \frac{10}{3}

derivative of 2x^{1/2}y^{1/2}

\frac{d}{d x} (2 x^{\frac{1}{2}} y^{\frac{1}{2}})

derivative of 4/(cos(x)+1/(tan(x)))

\frac{d}{d x} (\frac{4}{cos ( x )} + \frac{1}{tan ( x )})

(\partial)/(\partial y)(3xsin(xy))

\frac{\partial}{\partial y} (3 x sin (x y))

Frequently Asked Questions (FAQ)

What is the integral of x^{-1/6} ?
The integral of x^{-1/6} is 6/5 x^{5/6}+C