展开 pi(sqrt(2)+ln(sqrt(2)-1))

解答

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π (2 + ln (2 - 1))

2 π + π ln (2 - 1)

十进制

1.67396 \dots

求解步骤

π (2 + ln (2 - 1))

使用分配律:

a (b + c) = ab + a c

a = π, b = 2, c = ln (2 - 1)

= π 2 + π ln (2 - 1)

= 2 π + π ln (2 - 1)

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