integral from 3 to 4 of x/8

解答

\int_{3}^{4} \frac{x}{8} d x

\frac{7}{16}

十进制

0.4375

求解步骤

\int_{3}^{4} \frac{x}{8} d x

提出常数:

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

= \frac{1}{8} \cdot \int_{3}^{4} x d x

使用幂法则

= \frac{1}{8} [\frac{x ^{2}}{2}]_{3}^{4}

带入上下限计算后得:

\frac{7}{2}

= \frac{1}{8} \cdot \frac{7}{2}

化简

= \frac{7}{16}

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