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Beliebt Rechnen >

integral of sec(x)tan(x)-6e^x

Lösung

\int sec (x) tan (x) - 6 e^{x} d x

Lösung

sec (x) - 6 e^{x} + C

Schritte zur Lösung

\int sec (x) tan (x) - 6 e^{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 sec (x) tan (x) d x - \int 6 e^{x} d x

\int sec (x) tan (x) d x = sec (x)

\int 6 e^{x} d x = 6 e^{x}

= sec (x) - 6 e^{x}

Füge eine Konstante zur Lösung hinzu

= sec (x) - 6 e^{x} + C

Graph

Beliebte Beispiele

y^{^{'}} = 5 (y - t^{2})

x y^{^{'}} + 2 y + x = 1

derivative of x(x-9^2)

\frac{d}{d x} (x (x - 9)^{2})

(xdy)/(dx)=y+x^2sin(x)

\frac{x d y}{d x} = y + x^{2} sin (x)

integral of (1/3 x-9)^{2/3}

\int (\frac{1}{3} x - 9)^{\frac{2}{3}} d x