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人気のある微分積分 >

integral from 1 to 9 of 5/t

解

\int_{1}^{9} \frac{5}{t} d t

解

10 ln (3)

+1

十進法表記

10.98612 \dots

解答ステップ

\int_{1}^{9} \frac{5}{t} d t

定数を除く:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 5 \cdot \int_{1}^{9} \frac{1}{t} d t

共通積分を使用する:

\int \frac{1}{t} d t = ln (∣ t ∣)

= 5 [ln ∣ t ∣]_{1}^{9}

限度を計算する:

2 ln (3)

= 5 \cdot 2 ln (3)

簡素化

= 10 ln (3)

グラフ

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