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Beliebt Rechnen >

integral of (x^5-sec^2(x))

Lösung

\int (x^{5} - sec^{2} (x)) d x

Lösung

\frac{x ^{6}}{6} - tan (x) + C

Schritte zur Lösung

\int x^{5} - 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 x^{5} d x - \int sec^{2} (x) d x

\int x^{5} d x = \frac{x ^{6}}{6}

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

= \frac{x ^{6}}{6} - tan (x)

Füge eine Konstante zur Lösung hinzu

= \frac{x ^{6}}{6} - tan (x) + C

Graph

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