integral of cos(x)\sqrt[3]{2018+sin(x)}

Lösung

\int cos (x) 3 2018 + sin (x) d x

\frac{3}{4} (2018 + sin (x))^{\frac{4}{3}} + C

Schritte zur Lösung

\int cos (x) 3 2018 + sin (x) d x

Wende U-Substitution an

= \int 3 2018 + u d u

Wende U-Substitution an

= \int 3 v d v

Wende die Potenzregel an

= \frac{3}{4} v^{\frac{4}{3}}

Ersetze zurück

= \frac{3}{4} (2018 + sin (x))^{\frac{4}{3}}

Füge eine Konstante zur Lösung hinzu

= \frac{3}{4} (2018 + sin (x))^{\frac{4}{3}} + C

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