展开 (pi(6-ln(7)))/4

解答

展开

\frac{π ( 6 - ln ( 7 ) )}{4}

\frac{3 π}{2} - \frac{π ln ( 7 )}{4}

十进制

3.18407 \dots

求解步骤

\frac{π ( 6 - ln ( 7 ) )}{4}

乘开

π (6 - ln (7)) : 6 π - π ln (7)

= \frac{6 π - π ln ( 7 )}{4}

使用分式法则:

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

\frac{6 π - π ln ( 7 )}{4} = \frac{6 π}{4} - \frac{π ln ( 7 )}{4}

= \frac{6 π}{4} - \frac{π ln ( 7 )}{4}

消掉

\frac{6 π}{4} : \frac{3 π}{2}

= \frac{3 π}{2} - \frac{π ln ( 7 )}{4}

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