integral from 0 to a of sqrt(x)

解答

\int_{0}^{a} x d x

\frac{2 a ^{\frac{3}{2}}}{3}

求解步骤

\int_{0}^{a} x d x

使用幂法则

= [\frac{2}{3} x^{\frac{3}{2}}]_{0}^{a}

带入上下限计算后得:

\frac{2}{3} a^{\frac{3}{2}}

= \frac{2}{3} a^{\frac{3}{2}}

化简

= \frac{2 a ^{\frac{3}{2}}}{3}

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