What is the integral of x^{sqrt(2)} ?

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

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integral of x^{sqrt(2)}

\int x^{2} d x

(2 - 1) x^{2 + 1} + C

Solution steps

\int x^{2} d x

Apply the Power Rule

: (2 - 1) x^{2 + 1}

= (2 - 1) x^{2 + 1}

Add a constant to the solution

= (2 - 1) x^{2 + 1} + C

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