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人気のある微分積分 >

integral from-1 to 1 of x/(|x|)

解

\int_{- 1}^{1} \frac{x}{∣ x ∣} d x

解

0

解答ステップ

\int_{- 1}^{1} \frac{x}{∣ x ∣} d x

絶対数を排除する

= \int_{- 1}^{0} \frac{x}{- x} d x + \int_{0}^{1} \frac{x}{x} d x

\int_{- 1}^{0} \frac{x}{- x} d x = - 1

\int_{0}^{1} \frac{x}{x} d x = 1

= - 1 + 1

簡素化

= 0

グラフ

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