integral from-1 to 3 of-x^3

解答

\int_{- 1}^{3} - x^{3} d x

- 20

求解步骤

\int_{- 1}^{3} - x^{3} d x

提出常数:

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

= - \int_{- 1}^{3} x^{3} d x

使用幂法则

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

带入上下限计算后得:

20

= - 20

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