展开 (7(12e+19e^{19/12}))/(288)

解答

展开

\frac{7 ( 12 e + 19 e ^{\frac{19}{12}} )}{288}

\frac{7 e}{24} + \frac{133 e ^{\frac{19}{12}}}{288}

十进制

3.04236 \dots

求解步骤

\frac{7 ( 12 e + 19 e ^{\frac{19}{12}} )}{288}

乘开

7 (12 e + 19 e^{\frac{19}{12}}) : 84 e + 133 e^{\frac{19}{12}}

= \frac{84 e + 133 e ^{\frac{19}{12}}}{288}

使用分式法则:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{84 e + 133 e ^{\frac{19}{12}}}{288} = \frac{84 e}{288} + \frac{133 e ^{\frac{19}{12}}}{288}

= \frac{84 e}{288} + \frac{133 e ^{\frac{19}{12}}}{288}

消掉

\frac{84 e}{288} : \frac{7 e}{24}

= \frac{7 e}{24} + \frac{133 e ^{\frac{19}{12}}}{288}

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