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Beliebt Rechnen >

integral of e+sec^2(θ)-e^θ

Lösung

\int e + sec^{2} (θ) - e^{θ} d θ

Lösung

e θ + tan (θ) - e^{θ} + C

Schritte zur Lösung

\int e + sec^{2} (θ) - e^{θ} 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 e d θ + \int sec^{2} (θ) d θ - \int e^{θ} d θ

\int e d θ = e θ

\int sec^{2} (θ) d θ = tan (θ)

\int e^{θ} d θ = e^{θ}

= e θ + tan (θ) - e^{θ}

Füge eine Konstante zur Lösung hinzu

= e θ + tan (θ) - e^{θ} + C

Graph

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