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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Graph

Beliebte Beispiele

integral of (x^2+1)/(x^2-2)

\int \frac{x ^{2} + 1}{x ^{2} - 2} d x

integral of 8 1/x

\int 8 \frac{1}{x} d x

integral of (-3x^2)

\int (- 3 x^{2}) d x

integral of sqrt(3x+8)

\int 3 x + 8 d x

integral of (4\sqrt[3]{x})

\int (4 3 x) d x