integral of 3+sec^2(x)

Lösung

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

3 x + tan (x) + C

Schritte zur Lösung

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

\int 3 d x = 3 x

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

= 3 x + tan (x)

Füge eine Konstante zur Lösung hinzu

= 3 x + tan (x) + C

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