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Beliebt Rechnen >

integral of (sec^2(θ)+6)

Lösung

\int (sec^{2} (θ) + 6) d θ

Lösung

tan (θ) + 6 θ + C

Schritte zur Lösung

\int sec^{2} (θ) + 6 d θ

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^{2} (θ) d θ + \int 6 d θ

\int sec^{2} (θ) d θ = tan (θ)

\int 6 d θ = 6 θ

= tan (θ) + 6 θ

Füge eine Konstante zur Lösung hinzu

= tan (θ) + 6 θ + C

Graph

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