integral from 2 to 4 of 3x^4

解答

\int_{2}^{4} 3 x^{4} d x

\frac{2976}{5}

十进制

595.2

求解步骤

\int_{2}^{4} 3 x^{4} d x

提出常数:

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

= 3 \cdot \int_{2}^{4} x^{4} d x

使用幂法则

= 3 [\frac{x ^{5}}{5}]_{2}^{4}

带入上下限计算后得:

\frac{992}{5}

= 3 \cdot \frac{992}{5}

化简

= \frac{2976}{5}