展開する pi((2.5569300000000…+1.0195000000000…ln(x))^2)

解

展開する

π ((2.5569300000000 \dots + 1.0195000000000 \dots ln (x))^{2})

20.53939 \dots + 16.37894 \dots ln (x) + 3.26530 \dots ln^{2} (x)

解答ステップ

π ((2.55693 \dots + 1.01950 \dots ln (x))^{2})

括弧を削除する:

(a) = a

= π (2.55693 \dots + 1.01950 \dots ln (x))^{2}

(2.55693 \dots + 1.01950 \dots ln (x))^{2} = 6.53789 \dots + 5.21358027 ln (x) + 1.03938025 ln^{2} (x)

= π (1.03938025 ln^{2} (x) + 5.21358027 ln (x) + 6.53789 \dots)

括弧を分配する

= π 6.53789 \dots + π 5.21358027 ln (x) + π 1.03938025 ln^{2} (x)

= 6.53789 \dots π + 5.21358027 π ln (x) + 1.03938025 π ln^{2} (x)

簡素化

6.53789 \dots π + 5.21358027 π ln (x) + 1.03938025 π ln^{2} (x) : 20.53939 \dots + 16.37894 \dots ln (x) + 3.26530 \dots ln^{2} (x)

= 20.53939 \dots + 16.37894 \dots ln (x) + 3.26530 \dots ln^{2} (x)