integral from 0 to 7 of sqrt(y+9)

解答

\int_{0}^{7} y + 9 d y

\frac{74}{3}

十进制

24.66666 \dots

求解步骤

\int_{0}^{7} y + 9 d y

使用换元积分法

= \int_{9}^{16} u d u

使用幂法则

= [\frac{2}{3} u^{\frac{3}{2}}]_{9}^{16}

带入上下限计算后得:

\frac{74}{3}

= \frac{74}{3}

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