integral from-9 to 4 of (10-5x)

解答

\int_{- 9}^{4} (10 - 5 x) d x

\frac{585}{2}

十进制

292.5

求解步骤

\int_{- 9}^{4} 10 - 5 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_{- 9}^{4} 10 d x - \int_{- 9}^{4} 5 x d x

\int_{- 9}^{4} 10 d x = 130

\int_{- 9}^{4} 5 x d x = - \frac{325}{2}

= 130 - (- \frac{325}{2})

化简

130 - (- \frac{325}{2}) : \frac{585}{2}

= \frac{585}{2}

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