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人気のある微分積分 >

integral from 0 to pi of (3x^2-sin(x)+2)

解

\int_{0}^{π} (3 x^{2} - sin (x) + 2) d x

解

π^{3} - 2 + 2 π

+1

十進法表記

35.28946 \dots

解答ステップ

\int_{0}^{π} 3 x^{2} - sin (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_{0}^{π} 3 x^{2} d x - \int_{0}^{π} sin (x) d x + \int_{0}^{π} 2 d x

\int_{0}^{π} 3 x^{2} d x = π^{3}

\int_{0}^{π} sin (x) d x = 2

\int_{0}^{π} 2 d x = 2 π

= π^{3} - 2 + 2 π

グラフ

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