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Beliebt Rechnen >

integral of 5/x+sec^2(x)

Lösung

\int \frac{5}{x} + sec^{2} (x) d x

Lösung

5 ln ∣ x ∣ + tan (x) + C

Schritte zur Lösung

\int \frac{5}{x} + sec^{2} (x) d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int \frac{5}{x} d x + \int sec^{2} (x) d x

\int \frac{5}{x} d x = 5 ln ∣ x ∣

\int sec^{2} (x) d x = tan (x)

= 5 ln ∣ x ∣ + tan (x)

Füge eine Konstante zur Lösung hinzu

= 5 ln ∣ x ∣ + tan (x) + C

Graph

Beliebte Beispiele

limit as x approaches 1 of (-3x)/(x-1)

x \to 1 lim (\frac{- 3 x}{x - 1})

v^{'} = v^{2}

limit as x approaches 2 of 2x^2

x \to 2 lim (2 x^{2})

(dx)/(dt)=-x(x+2),x(0)=1

\frac{d x}{d t} = - x (x + 2), x (0) = 1

\frac{d}{d y} (3 x y^{2})