integral from 2 to 6 of 8x

解答

\int_{2}^{6} 8 x d x

128

求解步骤

\int_{2}^{6} 8 x d x

提出常数:

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

= 8 \cdot \int_{2}^{6} x d x

使用幂法则

= 8 [\frac{x ^{2}}{2}]_{2}^{6}

带入上下限计算后得:

16

= 8 \cdot 16

化简

= 128

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