integral from-0.1 to 0.9 of-1600x

解答

\int_{- 0.1}^{0.9} - 1600 x d x

- 640

求解步骤

\int_{- 0.1}^{0.9} - 1600 x d x

提出常数:

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

= - 1600 \cdot \int_{- 0.1}^{0.9} x d x

使用幂法则

= - 1600 [\frac{x ^{2}}{2}]_{- 0.1}^{0.9}

化简

= - 1600 [0.5 x^{2}]_{- 0.1}^{0.9}

带入上下限计算后得:

0.4

= - 1600 \cdot 0.4

化简

= - 640