integral from-3 to 7 of (|x|)

解答

\int_{- 3}^{7} (∣ x ∣) d x

29

求解步骤

\int_{- 3}^{7} ∣ x ∣ d x

拿掉绝对值

= \int_{- 3}^{0} - x d x + \int_{0}^{7} x d x

\int_{- 3}^{0} - x d x = \frac{9}{2}

\int_{0}^{7} x d x = \frac{49}{2}

= \frac{9}{2} + \frac{49}{2}

化简

\frac{9}{2} + \frac{49}{2} : 29

= 29

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