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Beliebt Rechnen >

integral of 8cos(t)+sec^2(t)

Lösung

\int 8 cos (t) + sec^{2} (t) d t

Lösung

8 sin (t) + tan (t) + C

Schritte zur Lösung

\int 8 cos (t) + sec^{2} (t) d t

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 8 cos (t) d t + \int sec^{2} (t) d t

\int 8 cos (t) d t = 8 sin (t)

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

= 8 sin (t) + tan (t)

Füge eine Konstante zur Lösung hinzu

= 8 sin (t) + tan (t) + C

Graph

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