integral of sin(x)cos(x)e^{sin(x)}

Lösung

\int sin (x) \cdot cos (x) \cdot e^{s i n (x)} d x

sin (x) e^{s i n (x)} - e^{s i n (x)} + C

Schritte zur Lösung

\int sin (x) cos (x) e^{s i n (x)} d x

Wende die partielle Integration an

= sin (x) e^{s i n (x)} - \int cos (x) e^{s i n (x)} d x

\int cos (x) e^{s i n (x)} d x = e^{s i n (x)}

= sin (x) e^{s i n (x)} - e^{s i n (x)}

Füge eine Konstante zur Lösung hinzu

= sin (x) e^{s i n (x)} - e^{s i n (x)} + C

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