integral from-2 to 3 of-3|x|

解答

\int_{- 2}^{3} - 3 ∣ x ∣ d x

- \frac{39}{2}

十进制

- 19.5

求解步骤

\int_{- 2}^{3} - 3 ∣ x ∣ d x

拿掉绝对值

= \int_{- 2}^{0} - 3 (- x) d x + \int_{0}^{3} - 3 x d x

\int_{- 2}^{0} - 3 (- x) d x = - 6

\int_{0}^{3} - 3 x d x = - \frac{27}{2}

= - 6 - \frac{27}{2}

化简

- 6 - \frac{27}{2} : - \frac{39}{2}

= - \frac{39}{2}

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