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Beliebt Rechnen >

integral of (4x-2sec^2(x))

Lösung

\int (4 x - 2 sec^{2} (x)) d x

Lösung

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

Schritte zur Lösung

\int 4 x - 2 sec^{2} (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 4 x d x - \int 2 sec^{2} (x) d x

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

\int 2 sec^{2} (x) d x = 2 tan (x)

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

Füge eine Konstante zur Lösung hinzu

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

Graph

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