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人気のある微分積分 >

integral from 3 to 4 of 8/(x^2)

解

\int_{3}^{4} \frac{8}{x ^{2}} d x

解

\frac{2}{3}

+1

十進法表記

0.66666 \dots

解答ステップ

\int_{3}^{4} \frac{8}{x ^{2}} d x

定数を除く:

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

= 8 \cdot \int_{3}^{4} \frac{1}{x ^{2}} d x

べき乗則を適用する

= 8 [- \frac{1}{x}]_{3}^{4}

限度を計算する:

\frac{1}{12}

= 8 \cdot \frac{1}{12}

簡素化

= \frac{2}{3}

グラフ

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