integral from 100 to 120 of-0.00006x^2+6

解答

\int_{100}^{120} - 0.00006 x^{2} + 6 d x

105.44

求解步骤

\int_{100}^{120} - 0.00006 x^{2} + 6 d x

使用积分加法定则:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= - \int_{100}^{120} 0.00006 x^{2} d x + \int_{100}^{120} 6 d x

\int_{100}^{120} 0.00006 x^{2} d x = 14.56

\int_{100}^{120} 6 d x = 120

= - 14.56 + 120

化简

= 105.44

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