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人気のある微分積分 >

integral from-5 to 0 of 3+sqrt(25-x^2)

解

\int_{- 5}^{0} 3 + 25 - x^{2} d x

解

15 + \frac{25 π}{4}

+1

十進法表記

34.63495 \dots

解答ステップ

\int_{- 5}^{0} 3 + 25 - x^{2} d x

総和規則を適用する:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{- 5}^{0} 3 d x + \int_{- 5}^{0} 25 - x^{2} d x

\int_{- 5}^{0} 3 d x = 15

\int_{- 5}^{0} 25 - x^{2} d x = \frac{25 π}{4}

= 15 + \frac{25 π}{4}

グラフ

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