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人気のある微分積分 >

integral from 0 to pi of 5sin(t)

解

\int_{0}^{π} 5 sin (t) d t

解

10

解答ステップ

\int_{0}^{π} 5 sin (t) d t

定数を除く:

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

= 5 \cdot \int_{0}^{π} sin (t) d t

共通積分を使用する:

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

= 5 [- cos (t)]_{0}^{π}

限度を計算する:

2

= 5 \cdot 2

簡素化

= 10

グラフ

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