integral from 0 to 1 of 4x^3

解答

\int_{0}^{1} 4 x^{3} d x

1

求解步骤

\int_{0}^{1} 4 x^{3} d x

提出常数:

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

= 4 \cdot \int_{0}^{1} x^{3} d x

使用幂法则

= 4 [\frac{x ^{4}}{4}]_{0}^{1}

带入上下限计算后得:

\frac{1}{4}

= 4 \cdot \frac{1}{4}

化简

= 1

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