integral from-3 to 4 of |x-1|

解答

\int_{- 3}^{4} ∣ x - 1 ∣ d x

\frac{25}{2}

十进制

12.5

求解步骤

\int_{- 3}^{4} ∣ x - 1 ∣ d x

拿掉绝对值

= \int_{- 3}^{1} - x + 1 d x + \int_{1}^{4} x - 1 d x

\int_{- 3}^{1} - x + 1 d x = 8

\int_{1}^{4} x - 1 d x = \frac{9}{2}

= 8 + \frac{9}{2}

化简

8 + \frac{9}{2} : \frac{25}{2}

= \frac{25}{2}

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