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人気のある微分積分 >

integral from 0 to pi of pisin(x)

解

\int_{0}^{π} π sin (x) d x

解

π 2

+1

十進法表記

6.28318 \dots

解答ステップ

\int_{0}^{π} π sin (x) d x

定数を除く:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= π \cdot \int_{0}^{π} sin (x) d x

共通積分を使用する:

\int sin (x) d x = - cos (x)

= π [- cos (x)]_{0}^{π}

限度を計算する:

2

= π 2

グラフ

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