de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of 9sec^3(x)

Lösung

\int 9 sec^{3} (x) d x

Lösung

9 (\frac{1}{2} sec (x) tan (x) + \frac{1}{2} ln ∣ tan (x) + sec (x) ∣) + C

Schritte zur Lösung

\int 9 sec^{3} (x) d x

Entferne die Konstante:

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

= 9 \cdot \int sec^{3} (x) d x

Wende integrale Reduktion an

= 9 (\frac{sec ^{2} ( x ) sin ( x )}{2} + \frac{1}{2} \cdot \int sec (x) d x)

\int sec (x) d x = ln ∣ tan (x) + sec (x) ∣

= 9 (\frac{sec ^{2} ( x ) sin ( x )}{2} + \frac{1}{2} ln ∣ tan (x) + sec (x) ∣)

Vereinfache

9 (\frac{sec ^{2} ( x ) sin ( x )}{2} + \frac{1}{2} ln ∣ tan (x) + sec (x) ∣) : 9 (\frac{1}{2} sec (x) tan (x) + \frac{1}{2} ln ∣ tan (x) + sec (x) ∣)

= 9 (\frac{1}{2} sec (x) tan (x) + \frac{1}{2} ln ∣ tan (x) + sec (x) ∣)

Füge eine Konstante zur Lösung hinzu

= 9 (\frac{1}{2} sec (x) tan (x) + \frac{1}{2} ln ∣ tan (x) + sec (x) ∣) + C

Graph

Beliebte Beispiele

(d^2)/(dx^2)(sqrt(1-x^2))

\frac{d ^{2}}{d x ^{2}} (1 - x^{2})

integral of 23e^x

\int 23 e^{x} d x

integral of (sin(2x))/(13+cos^2(x))

\int \frac{sin ( 2 x )}{13 + cos ^{2} ( x )} d x

fläche y=4x,x=4,y= 4/x ,x=0

a re a y = 4 x, x = 4, y = \frac{4}{x}, x = 0

(\partial)/(\partial x)(ln(3ye^{xy}))

\frac{\partial}{\partial x} (ln (3 y e^{x y}))