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人気のある微分積分 >

integral from pi/6 to pi/3 of 6cos(x)

解

\int_{\frac{π}{6}}^{\frac{π}{3}} 6 cos (x) d x

解

3 (3 - 1)

+1

十進法表記

2.19615 \dots

解答ステップ

\int_{\frac{π}{6}}^{\frac{π}{3}} 6 cos (x) d x

定数を除く:

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

= 6 \cdot \int_{\frac{π}{6}}^{\frac{π}{3}} cos (x) d x

共通積分を使用する:

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

= 6 [sin (x)]_{\frac{π}{6}}^{\frac{π}{3}}

限度を計算する:

\frac{3}{2} - \frac{1}{2}

= 6 (\frac{3}{2} - \frac{1}{2})

簡素化

= 3 (3 - 1)

グラフ

人気の例

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