What is the integral of 1/(x^{sqrt(3))} ?

The integral of 1/(x^{sqrt(3))} is -(sqrt(3)+1)/2 x^{-sqrt(3)+1}+C

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integral of 1/(x^{sqrt(3))}

\int \frac{1}{x ^{3}} d x

- \frac{3 + 1}{2} x^{- 3 + 1} + C

Solution steps

\int \frac{1}{x ^{3}} d x

Apply the Power Rule

: - \frac{3 + 1}{2} x^{- 3 + 1}

= - \frac{3 + 1}{2} x^{- 3 + 1}

Add a constant to the solution

= - \frac{3 + 1}{2} x^{- 3 + 1} + C

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What is the integral of 1/(x^{sqrt(3))} ?
The integral of 1/(x^{sqrt(3))} is -(sqrt(3)+1)/2 x^{-sqrt(3)+1}+C