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Beliebt Rechnen >

integral of sqrt(sin(x)+3)cos(x)

Lösung

\int sin (x) + 3 cos (x) d x

Lösung

\frac{2}{3} (sin (x) + 3)^{\frac{3}{2}} + C

Schritte zur Lösung

\int sin (x) + 3 cos (x) d x

Wende U-Substitution an

= \int u d u

Wende die Potenzregel an

= \frac{2}{3} u^{\frac{3}{2}}

Setze in

u = sin (x) + 3

ein

= \frac{2}{3} (sin (x) + 3)^{\frac{3}{2}}

Füge eine Konstante zur Lösung hinzu

= \frac{2}{3} (sin (x) + 3)^{\frac{3}{2}} + C

Graph

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