de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of 1/6 sec(x)tan(x)

Lösung

\int \frac{1}{6} sec (x) tan (x) d x

Lösung

\frac{1}{6} sec (x) + C

Schritte zur Lösung

\int \frac{1}{6} sec (x) tan (x) d x

Entferne die Konstante:

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

= \frac{1}{6} \cdot \int sec (x) tan (x) d x

Wende U-Substitution an

= \frac{1}{6} \cdot \int 1 d u

Integral einer Konstanten :

\int a d x = a x

= \frac{1}{6} \cdot 1 \cdot u

Setze in

u = sec (x)

ein

= \frac{1}{6} \cdot 1 \cdot sec (x)

Vereinfache

= \frac{1}{6} sec (x)

Füge eine Konstante zur Lösung hinzu

= \frac{1}{6} sec (x) + C

Graph

Beliebte Beispiele

derivative of (a-b/x ^2)

\frac{d}{d x} ((a - \frac{b}{x})^{2})

sum from n=1 to infinity of 2/(n*(n+1))

n = 1 \sum \infty \frac{2}{n \cdot ( n + 1 )}

derivative g(x)=(4x^3+6x^2)^5

d er i v a t i v e g (x) = (4 x^{3} + 6 x^{2})^{5}

d/(dθ)(2sin^2(θ))

\frac{d}{d θ} (2 sin^{2} (θ))

derivative of (ax-b(cx^2))

\frac{d}{d x} ((a x - b) (c x^{2}))