integral from-2 to 2 of 19-|x|^3

解答

\int_{- 2}^{2} 19 - ∣ x ∣^{3} d x

68

求解步骤

\int_{- 2}^{2} 19 - ∣ x ∣^{3} d x

拿掉绝对值

= \int_{- 2}^{0} 19 - (- x)^{3} d x + \int_{0}^{2} 19 - x^{3} d x

\int_{- 2}^{0} 19 - (- x)^{3} d x = 34

\int_{0}^{2} 19 - x^{3} d x = 34

= 34 + 34

化简

= 68

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