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人気のある微分積分 >

integral of insec(x)tan(x)

解

\int in sec (x) tan (x) d x

解

in sec (x) + C

解答ステップ

\int in sec (x) tan (x) d x

定数を除く:

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

= in \cdot \int sec (x) tan (x) d x

u置換積分法を適用する

= in \cdot \int 1 d u

定数の積分:

\int a d x = a x

= in \cdot 1 \cdot u

代用を戻す

u = sec (x)

= in \cdot 1 \cdot sec (x)

簡素化

= in sec (x)

定数を解答に追加する

= in sec (x) + C

グラフ

人気の例

derivative b/((1-(y/x)))

d er i v a t i v e \frac{b}{( 1 - ( \frac{y}{x} ) )}

integral of 7sin(2)(x)cos(3)(x)

\int 7 sin (2) (x) cos (3) (x) d x

limit as x approaches 3+of (x^2-9)/(x-3)

x \to 3 + lim (\frac{x ^{2} - 9}{x - 3})

derivative (sqrt(x))/(5+x)

d er i v a t i v e \frac{x}{5 + x}

derivative of sqrt(5)sin(x)

\frac{d}{d x} (5 sin (x))