What is the integral of sqrt(x^{15)} ?

The integral of sqrt(x^{15)} is 2/17 x^{17/2}+C

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integral of sqrt(x^{15)}

\int x^{15} d x

\frac{2}{17} x^{\frac{17}{2}} + C

Solution steps

\int x^{15} d x

x^{15} = x^{\frac{15}{2}},

assuming

x \geq 0

= \int x^{\frac{15}{2}} d x

Apply the Power Rule

= \frac{2}{17} x^{\frac{17}{2}}

Add a constant to the solution

= \frac{2}{17} x^{\frac{17}{2}} + C

What is the integral of sqrt(x^{15)} ?
The integral of sqrt(x^{15)} is 2/17 x^{17/2}+C