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Beliebt Rechnen >

integral of 9xsec(x)tan(x)

Lösung

\int 9 x sec (x) tan (x) d x

Lösung

9 (x sec (x) - ln ∣ tan (x) + sec (x) ∣) + C

Schritte zur Lösung

\int 9 x sec (x) tan (x) d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 9 \cdot \int x sec (x) tan (x) d x

Wende die partielle Integration an

= 9 (x sec (x) - \int sec (x) d x)

\int sec (x) d x = ln ∣ tan (x) + sec (x) ∣

= 9 (x sec (x) - ln ∣ tan (x) + sec (x) ∣)

Füge eine Konstante zur Lösung hinzu

= 9 (x sec (x) - ln ∣ tan (x) + sec (x) ∣) + C

Graph

Beliebte Beispiele

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\int 3 v (v^{2} + 2)^{2} d v

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\int - \frac{3 x ^{2}}{5} d x

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\int \frac{4 + x}{4 - x} d x

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\int \frac{y ^{2}}{x ^{2}} d x