integral of sqrt(x^{15)}

解答

\int x^{15} d x

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

求解步骤

\int x^{15} d x

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

假定

x \geq 0

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

使用幂法则

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

解答补常数

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

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