integral from-1 to 2 of (x-8|x|)

解答

\int_{- 1}^{2} (x - 8 ∣ x ∣) d x

- \frac{37}{2}

十进制

- 18.5

求解步骤

\int_{- 1}^{2} x - 8 ∣ x ∣ d x

拿掉绝对值

= \int_{- 1}^{0} x - 8 (- x) d x + \int_{0}^{2} x - 8 x d x

\int_{- 1}^{0} x - 8 (- x) d x = - \frac{9}{2}

\int_{0}^{2} x - 8 x d x = - 14

= - \frac{9}{2} - 14

化简

- \frac{9}{2} - 14 : - \frac{37}{2}

= - \frac{37}{2}

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