de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of cos(x)sec(s-pi)

Lösung

\int cos (x) sec (s - π) d s

Lösung

cos (x) (s sec (s - π) + s sec (s) - ln ∣ tan (s) + sec (s) ∣) + C

Schritte zur Lösung

\int cos (x) sec (s - π) d s

Entferne die Konstante:

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

= cos (x) \cdot \int sec (s - π) d s

Wende die partielle Integration an

= cos (x) (s sec (s - π) - \int - s sec (s) tan (s) d s)

\int - s sec (s) tan (s) d s = - s sec (s) + ln ∣ tan (s) + sec (s) ∣

= cos (x) (s sec (s - π) - (- s sec (s) + ln ∣ tan (s) + sec (s) ∣))

Vereinfache

= cos (x) (s sec (s - π) + s sec (s) - ln ∣ tan (s) + sec (s) ∣)

Füge eine Konstante zur Lösung hinzu

= cos (x) (s sec (s - π) + s sec (s) - ln ∣ tan (s) + sec (s) ∣) + C

Graph

Beliebte Beispiele

integral of cos^2(2x)sin^4(2x)

\int cos^{2} (2 x) sin^{4} (2 x) d x

integral of sin(2sqrt(x))

\int sin (2 x) d x

integral of 1/(p(1-p))

\int \frac{1}{p ( 1 - p )} d p

integral of (sqrt(x))/(sqrt(x)+4)

\int \frac{x}{x + 4} d x

integral of xtan(8)x^2

\int x tan (8) x^{2} d x