展开 (pi(8+ln(5)))/2

解答

展开

\frac{π ( 8 + ln ( 5 ) )}{2}

4 π + \frac{π ln ( 5 )}{2}

十进制

15.09446 \dots

求解步骤

\frac{π ( 8 + ln ( 5 ) )}{2}

乘开

π (8 + ln (5)) : 8 π + π ln (5)

= \frac{8 π + π ln ( 5 )}{2}

使用分式法则:

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

\frac{8 π + π ln ( 5 )}{2} = \frac{8 π}{2} + \frac{π ln ( 5 )}{2}

= \frac{8 π}{2} + \frac{π ln ( 5 )}{2}

数字相除:

\frac{8}{2} = 4

= 4 π + \frac{π ln ( 5 )}{2}

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