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人気のある微分積分 >

integral from 0 to pi/6 of 12cos(x)

解

\int_{0}^{\frac{π}{6}} 12 cos (x) d x

解

6

解答ステップ

\int_{0}^{\frac{π}{6}} 12 cos (x) d x

定数を除く:

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

= 12 \cdot \int_{0}^{\frac{π}{6}} cos (x) d x

共通積分を使用する:

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

= 12 [sin (x)]_{0}^{\frac{π}{6}}

限度を計算する:

\frac{1}{2}

= 12 \cdot \frac{1}{2}

簡素化

= 6

グラフ

人気の例

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