integral from-8 to-1 of 1-\sqrt[3]{x}

解答

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

\frac{73}{4}

十进制

18.25

求解步骤

\int_{- 8}^{- 1} 1 - 3 x 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_{- 8}^{- 1} 1 d x - \int_{- 8}^{- 1} 3 x d x

\int_{- 8}^{- 1} 1 d x = 7

\int_{- 8}^{- 1} 3 x d x = \frac{45 3 - 1}{4}

= 7 - \frac{45 3 - 1}{4}

化简

7 - \frac{45 3 - 1}{4} : \frac{73}{4}

= \frac{73}{4}

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