integral from 0 to 3 of x+2

解答

\int_{0}^{3} x + 2 d x

\frac{21}{2}

十进制

10.5

求解步骤

\int_{0}^{3} x + 2 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} 2 d x

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

\int_{0}^{3} 2 d x = 6

= \frac{9}{2} + 6

化简

\frac{9}{2} + 6 : \frac{21}{2}

= \frac{21}{2}

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