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Beliebt Rechnen >

integral of 1+2/t

Lösung

\int 1 + \frac{2}{t} d t

Lösung

t + 2 ln ∣ t ∣ + C

Schritte zur Lösung

\int 1 + \frac{2}{t} d t

Wende die Summenregel an:

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

= \int 1 d t + \int \frac{2}{t} d t

\int 1 d t = t

\int \frac{2}{t} d t = 2 ln ∣ t ∣

= t + 2 ln ∣ t ∣

Füge eine Konstante zur Lösung hinzu

= t + 2 ln ∣ t ∣ + C

Graph

Beliebte Beispiele

integral of (cos(x)+1/3 x)

\int (cos (x) + \frac{1}{3} x) d x

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\int e^{x - 1} + x^{- 2} d x

integral of-x^2+3x

\int - x^{2} + 3 x d x

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\frac{d}{d x} (\frac{x - cos ( x )}{x ^{2} + cot ( x )})

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