integral from 1 to 6 of 7x+1

解答

\int_{1}^{6} 7 x + 1 d x

\frac{255}{2}

十进制

127.5

求解步骤

\int_{1}^{6} 7 x + 1 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}^{6} 7 x d x + \int_{1}^{6} 1 d x

\int_{1}^{6} 7 x d x = \frac{245}{2}

\int_{1}^{6} 1 d x = 5

= \frac{245}{2} + 5

化简

\frac{245}{2} + 5 : \frac{255}{2}

= \frac{255}{2}

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