integral from 0 to 3 of (x+5)

解答

\int_{0}^{3} (x + 5) d x

\frac{39}{2}

十进制

19.5

求解步骤

\int_{0}^{3} x + 5 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_{0}^{3} x d x + \int_{0}^{3} 5 d x

\int_{0}^{3} x d x = \frac{9}{2}

\int_{0}^{3} 5 d x = 15

= \frac{9}{2} + 15

化简

\frac{9}{2} + 15 : \frac{39}{2}

= \frac{39}{2}

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