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人気のある微分積分 >

integral from 0 to arctan(x) of sec^2(t)

解

\int_{0}^{a r c t a n (x)} sec^{2} (t) d t

解

x

解答ステップ

\int_{0}^{a r c t a n (x)} sec^{2} (t) d t

共通積分を使用する:

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

= [tan (t)]_{0}^{a r c t a n (x)}

限度を計算する:

x

= x

人気の例

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\int_{0}^{\infty} e^{- y} (2 y^{3} - \frac{2 y ^{3}}{3}) d y

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