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Beliebt Rechnen >

integral of cosh^2(x-1)sinh(x-1)

Lösung

\int cosh^{2} (x - 1) sinh (x - 1) d x

Lösung

\frac{cosh ^{3} ( x - 1 )}{3} + C

Schritte zur Lösung

\int cosh^{2} (x - 1) sinh (x - 1) d x

Wende U-Substitution an

= \int cosh^{2} (u) sinh (u) d u

Wende U-Substitution an

= \int v^{2} d v

Wende die Potenzregel an

= \frac{v ^{3}}{3}

Ersetze zurück

= \frac{cosh ^{3} ( x - 1 )}{3}

Füge eine Konstante zur Lösung hinzu

= \frac{cosh ^{3} ( x - 1 )}{3} + C

Graph

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