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

Lösung

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

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

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

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

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

Füge eine Konstante zur Lösung hinzu

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

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