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Beliebt Rechnen >

integral of (tan(x)-2)

Lösung

\int (tan (x) - 2) d x

Lösung

- ln ∣ cos (x) ∣ - 2 x + C

Schritte zur Lösung

\int tan (x) - 2 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 tan (x) d x - \int 2 d x

\int tan (x) d x = - ln ∣ cos (x) ∣

\int 2 d x = 2 x

= - ln ∣ cos (x) ∣ - 2 x

Füge eine Konstante zur Lösung hinzu

= - ln ∣ cos (x) ∣ - 2 x + C

Graph

Beliebte Beispiele

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\int \frac{x - 48}{x ^{2} - x - 6} d x

integral of+sin(6x)cos(6x)

\int + sin (6 x) cos (6 x) d x

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\int 8 y^{7} - \frac{1}{2} y + y^{\frac{1}{3}} d y