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人気のある微分積分 >

integral from 0 to pi/3 of 3sec(x)

解

\int_{0}^{\frac{π}{3}} 3 sec (x) d x

解

3 ln (2 + 3)

+1

十進法表記

3.95087 \dots

解答ステップ

\int_{0}^{\frac{π}{3}} 3 sec (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_{0}^{\frac{π}{3}} sec (x) d x

共通積分を使用する:

\int sec (x) d x = ln ∣ tan (x) + sec (x) ∣

= 3 [ln ∣ tan (x) + sec (x) ∣]_{0}^{\frac{π}{3}}

限度を計算する:

ln (2 + 3)

= 3 ln (2 + 3)

グラフ

人気の例

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