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人気のある微分積分 >

integral from 0 to pi of x-sin(x)

解

\int_{0}^{π} x - sin (x) d x

解

\frac{π ^{2}}{2} - 2

+1

十進法表記

2.93480 \dots

解答ステップ

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

\int_{0}^{π} x d x = \frac{π ^{2}}{2}

\int_{0}^{π} sin (x) d x = 2

= \frac{π ^{2}}{2} - 2

グラフ

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