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人気のある微分積分 >

integral from pi/2 to pi of 3sin(x)

解

\int_{\frac{π}{2}}^{π} 3 sin (x) d x

解

3

解答ステップ

\int_{\frac{π}{2}}^{π} 3 sin (x) d x

定数を除く:

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

= 3 \cdot \int_{\frac{π}{2}}^{π} sin (x) d x

共通積分を使用する:

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

= 3 [- cos (x)]_{\frac{π}{2}}^{π}

限度を計算する:

1

= 3 \cdot 1

簡素化

= 3

グラフ

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