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Beliebt Rechnen >

integral of tan(x)-2cot(x)

Lösung

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

Lösung

- ln ∣ cos (x) ∣ - 2 ln ∣ sin (x) ∣ + C

Schritte zur Lösung

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

\int tan (x) d x = - ln ∣ cos (x) ∣

\int 2 cot (x) d x = 2 ln ∣ sin (x) ∣

= - ln ∣ cos (x) ∣ - 2 ln ∣ sin (x) ∣

Füge eine Konstante zur Lösung hinzu

= - ln ∣ cos (x) ∣ - 2 ln ∣ sin (x) ∣ + C

Graph

Beliebte Beispiele

integral of+e^{-5x}sin(x)

\int + e^{- 5 x} sin (x) d x

integral of (x^2+2x+3)ln(x)

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

integral of 1/(e^{2t)+1}

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

integral of 5x^4e^x

\int 5 x^{4} e^{x} d x

integral e^-x^2

in t e g r a l e^{-} x^{2}