integral from 1 to 8 of (3x+5)

解答

\int_{1}^{8} (3 x + 5) d x

\frac{259}{2}

十进制

129.5

求解步骤

\int_{1}^{8} 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_{1}^{8} 3 x d x + \int_{1}^{8} 5 d x

\int_{1}^{8} 3 x d x = \frac{189}{2}

\int_{1}^{8} 5 d x = 35

= \frac{189}{2} + 35

化简

\frac{189}{2} + 35 : \frac{259}{2}

= \frac{259}{2}

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