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Beliebt Rechnen >

integral of (sec^2(x))/(sec(x))

Lösung

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

Lösung

ln ∣ tan (x) + sec (x) ∣ + C

Schritte zur Lösung

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

Streiche die gemeinsamen Faktoren:

sec (x)

= \int sec (x) d x

Nutze das gemeinsame Integral :

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

= ln ∣ tan (x) + sec (x) ∣

Füge eine Konstante zur Lösung hinzu

= ln ∣ tan (x) + sec (x) ∣ + C

Graph

Beliebte Beispiele

derivative of e^{yx}

\frac{d}{d x} (e^{y x})

tangent f(x)= 3/x ,(9, 1/3)

t an g e n t f (x) = \frac{3}{x}, (9, \frac{1}{3})

integral of (8x^3(2x^4+4)^4)

\int (8 x^{3} (2 x^{4} + 4)^{4}) d x

derivative of (x^2/(9+8x))

\frac{d}{d x} (\frac{x ^{2}}{9 + 8 x})

limit as x approaches 0 of x^4sin(1/x)

x \to 0 lim (x^{4} sin (\frac{1}{x}))