integral from 1 to 4 of (3x+2)

解答

\int_{1}^{4} (3 x + 2) d x

\frac{57}{2}

十进制

28.5

求解步骤

\int_{1}^{4} 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_{1}^{4} 3 x d x + \int_{1}^{4} 2 d x

\int_{1}^{4} 3 x d x = \frac{45}{2}

\int_{1}^{4} 2 d x = 6

= \frac{45}{2} + 6

化简

\frac{45}{2} + 6 : \frac{57}{2}

= \frac{57}{2}

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