integral from-1 to 2 of |2x|

解答

\int_{- 1}^{2} ∣ 2 x ∣ d x

5

求解步骤

\int_{- 1}^{2} ∣ 2 x ∣ d x

拿掉绝对值

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

\int_{- 1}^{0} - 2 x d x = 1

\int_{0}^{2} 2 x d x = 4

= 1 + 4

化简

= 5

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