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人気のある微分積分 >

integral from-2 to 2 of (x+|x|)/(2+x^2)

解

\int_{- 2}^{2} \frac{x + ∣ x ∣}{2 + x ^{2}} d x

解

ln (3)

+1

十進法表記

1.09861 \dots

解答ステップ

\int_{- 2}^{2} \frac{x + ∣ x ∣}{2 + x ^{2}} d x

絶対数を排除する

= \int_{- 2}^{0} \frac{x - x}{2 + x ^{2}} d x + \int_{0}^{2} \frac{x + x}{2 + x ^{2}} d x

\int_{- 2}^{0} \frac{x - x}{2 + x ^{2}} d x = 0

\int_{0}^{2} \frac{x + x}{2 + x ^{2}} d x = ln (3)

= 0 + ln (3)

簡素化

= ln (3)

グラフ

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