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Beliebt Rechnen >

integral of sec(x)tan(x)-4x

Lösung

\int sec (x) tan (x) - 4 x d x

Lösung

sec (x) - 2 x^{2} + C

Schritte zur Lösung

\int sec (x) tan (x) - 4 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 4 x d x

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

\int 4 x d x = 2 x^{2}

= sec (x) - 2 x^{2}

Füge eine Konstante zur Lösung hinzu

= sec (x) - 2 x^{2} + C

Graph

Beliebte Beispiele

integral of (x^4+5)^3x^3

\int (x^{4} + 5)^{3} x^{3} d x

derivative of cos^2(xsin^2(x))

\frac{d}{d x} (cos^{2} (x) sin^{2} (x))

integral of 9rcos(r)

\int 9 r cos (r) d r

derivative y=x^{4x}

d er i v a t i v e y = x^{4 x}

(dy)/(dx)=(y^2-4)

\frac{d y}{d x} = (y^{2} - 4)