integral from 0 to 0.6 of 600x

解答

\int_{0}^{0.6} 600 x d x

108

求解步骤

\int_{0}^{0.6} 600 x d x

提出常数:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 600 \cdot \int_{0}^{0.6} x d x

使用幂法则

= 600 [\frac{x ^{2}}{2}]_{0}^{0.6}

化简

= 600 [0.5 x^{2}]_{0}^{0.6}

带入上下限计算后得:

0.18

= 600 \cdot 0.18

化简

= 108

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