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人気のある微分積分 >

integral from-3 to 5 of 1/(sqrt(|x-1|))

解

\int_{- 3}^{5} \frac{1}{∣ x - 1 ∣} d x

解

8

解答ステップ

\int_{- 3}^{5} \frac{1}{∣ x - 1 ∣} d x

絶対数を排除する

= \int_{- 3}^{1} \frac{1}{- x + 1} d x + \int_{1}^{5} \frac{1}{x - 1} d x

\int_{- 3}^{1} \frac{1}{- x + 1} d x = 4

\int_{1}^{5} \frac{1}{x - 1} d x = 4

= 4 + 4

簡素化

= 8

グラフ

人気の例

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\int_{2}^{3} 1 0^{x} d x

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integral from 0 to 2 of x^6J_{3}(2x)

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