integral from 0 to 5 of (2+x)

解答

\int_{0}^{5} (2 + x) d x

\frac{45}{2}

十进制

22.5

求解步骤

\int_{0}^{5} 2 + 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_{0}^{5} 2 d x + \int_{0}^{5} x d x

\int_{0}^{5} 2 d x = 10

\int_{0}^{5} x d x = \frac{25}{2}

= 10 + \frac{25}{2}

化简

10 + \frac{25}{2} : \frac{45}{2}

= \frac{45}{2}

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