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人気のある微分積分 >

integral of (ln(6x))/(x^4)

解

\int \frac{ln ( 6 x )}{x ^{4}} d x

解

- \frac{ln ( 6 x )}{3 x ^{3}} - \frac{1}{9 x ^{3}} + C

解答ステップ

\int \frac{ln ( 6 x )}{x ^{4}} d x

部分積分を適用する

= - \frac{ln ( 6 x )}{3 x ^{3}} - \int - \frac{1}{3 x ^{4}} d x

\int - \frac{1}{3 x ^{4}} d x = \frac{1}{9 x ^{3}}

= - \frac{ln ( 6 x )}{3 x ^{3}} - \frac{1}{9 x ^{3}}

定数を解答に追加する

= - \frac{ln ( 6 x )}{3 x ^{3}} - \frac{1}{9 x ^{3}} + C

グラフ

人気の例

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