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人気のある微分積分 >

integral from 0 to pi/4 of 6sec^2(x)

解

\int_{0}^{\frac{π}{4}} 6 sec^{2} (x) d x

解

6

解答ステップ

\int_{0}^{\frac{π}{4}} 6 sec^{2} (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_{0}^{\frac{π}{4}} sec^{2} (x) d x

共通積分を使用する:

\int sec^{2} (x) d x = tan (x)

= 6 [tan (x)]_{0}^{\frac{π}{4}}

限度を計算する:

1

= 6 \cdot 1

簡素化

= 6

グラフ

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