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人気のある微分積分 >

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

解

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

解

1

解答ステップ

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

簡素化

= \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)

= [tan (x)]_{0}^{\frac{π}{4}}

限度を計算する:

1

= 1

グラフ

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