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Beliebt Rechnen >

integral of (6sin(2x)+sec^2(x))

Lösung

\int (6 sin (2 x) + sec^{2} (x)) d x

Lösung

- 3 cos (2 x) + tan (x) + C

Schritte zur Lösung

\int 6 sin (2 x) + 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 6 sin (2 x) d x + \int sec^{2} (x) d x

\int 6 sin (2 x) d x = - 3 cos (2 x)

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

= - 3 cos (2 x) + tan (x)

Füge eine Konstante zur Lösung hinzu

= - 3 cos (2 x) + tan (x) + C

Graph

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\int_{0}^{2} 6 x - x^{2} d x

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