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人気のある微分積分 >

integral of sec^2(7x)

解

\int sec^{2} (7 x) d x

解

\frac{1}{7} tan (7 x) + C

解答ステップ

\int sec^{2} (7 x) d x

u置換積分法を適用する

= \int sec^{2} (u) \frac{1}{7} d u

定数を除く:

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

= \frac{1}{7} \cdot \int sec^{2} (u) d u

共通積分を使用する:

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

= \frac{1}{7} tan (u)

代用を戻す

u = 7 x

= \frac{1}{7} tan (7 x)

定数を解答に追加する

= \frac{1}{7} tan (7 x) + C

グラフ

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