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人気のある微分積分 >

integral from 1 to 3x of ln(t)

解

\int_{1}^{3 x} ln (t) d t

解

3 x ln (3 x) - 3 x + 1

解答ステップ

\int_{1}^{3 x} ln (t) d t

部分積分を適用する

= [t ln (t) - \int 1 d t]_{1}^{3 x}

\int 1 d t = t

= [t ln (t) - t]_{1}^{3 x}

限度を計算する:

3 x ln (3 x) - 3 x + 1

= 3 x ln (3 x) - 3 x + 1

人気の例

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