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Beliebt Rechnen >

integral of tan(x)+x^2

Lösung

\int tan (x) + x^{2} d x

Lösung

- ln ∣ cos (x) ∣ + \frac{x ^{3}}{3} + C

Schritte zur Lösung

\int tan (x) + x^{2} 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 tan (x) d x + \int x^{2} d x

\int tan (x) d x = - ln ∣ cos (x) ∣

\int x^{2} d x = \frac{x ^{3}}{3}

= - ln ∣ cos (x) ∣ + \frac{x ^{3}}{3}

Füge eine Konstante zur Lösung hinzu

= - ln ∣ cos (x) ∣ + \frac{x ^{3}}{3} + C

Graph

Beliebte Beispiele

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\int \frac{1}{7 + x} d x

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\int \frac{1}{35 + 12 x - 36 x ^{2}} d x

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\int 14 e^{u} d u