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人気のある微分積分 >

integral from-2 to 2 of (5-3sqrt(4-x^2))

解

\int_{- 2}^{2} (5 - 3 4 - x^{2}) d x

解

20 - 6 π

+1

十進法表記

1.15044 \dots

解答ステップ

\int_{- 2}^{2} 5 - 3 4 - 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_{- 2}^{2} 5 d x - \int_{- 2}^{2} 3 4 - x^{2} d x

\int_{- 2}^{2} 5 d x = 20

\int_{- 2}^{2} 3 4 - x^{2} d x = 6 π

= 20 - 6 π

グラフ

人気の例

integral from 0 to 1 of 6\sqrt[6]{x}

\int_{0}^{1} 6 6 x d x

integral from 2 to 5 of 8x-16

\int_{2}^{5} 8 x - 16 d x

integral from-1 to 1 of x^3+2x

\int_{- 1}^{1} x^{3} + 2 x d x

integral from 0 to pi of e^{it}

\int_{0}^{π} e^{i t} d t

integral from 0 to 4 of (sqrt(x+2))

\int_{0}^{4} (x + 2) d x