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人気のある微分積分 >

integral from 3 to 5 of 6/(x^2)

解

\int_{3}^{5} \frac{6}{x ^{2}} d x

解

\frac{4}{5}

+1

十進法表記

0.8

解答ステップ

\int_{3}^{5} \frac{6}{x ^{2}} d x

定数を除く:

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

= 6 \cdot \int_{3}^{5} \frac{1}{x ^{2}} d x

べき乗則を適用する

= 6 [- \frac{1}{x}]_{3}^{5}

限度を計算する:

\frac{2}{15}

= 6 \cdot \frac{2}{15}

簡素化

= \frac{4}{5}

グラフ

人気の例

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\int_{- 1}^{1} x (x^{2} + 5 x)^{3} d x

integral from 0 to pi of 5xcos(x)

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integral from 1 to 4 of pi(ln(x))^2

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