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Popular >

integral of x^{-1/7}

Solution

\int x^{- \frac{1}{7}} d x

Solution

\frac{7}{6} x^{\frac{6}{7}} + C

Solution steps

\int x^{- \frac{1}{7}} d x

Apply the Power Rule

: \frac{7}{6} x^{\frac{6}{7}}

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

Add a constant to the solution

= \frac{7}{6} x^{\frac{6}{7}} + C

Graph

Popular Examples

derivative of 1/(sqrt(x+4))derivative of

\frac{1}{x + 4}

integral of (x^5)/(x^6+1)

\int \frac{x ^{5}}{x ^{6} + 1} d x

derivative of 10ln(x)

\frac{d}{d x} (10 ln (x))

derivative of (sqrt(x)+1/(sqrt(x)+5))

\frac{d}{d x} (\frac{x + 1}{x + 5})

(\partial)/(\partial x)(x^2e^{7xy})

\frac{\partial}{\partial x} (x^{2} e^{7 x y})

Frequently Asked Questions (FAQ)

What is the integral of x^{-1/7} ?
The integral of x^{-1/7} is 7/6 x^{6/7}+C