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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

\int cos (x) sin (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

Graph

Beliebte Beispiele

integral of 1/(1+\sqrt[4]{x)}

\int \frac{1}{1 + 4 x} d x

integral of 1/(x^{7/4)}

\int \frac{1}{x ^{\frac{7}{4}}} d x

integral of (sqrt(64x^2-25))/(x^3)

\int \frac{64 x ^{2} - 25}{x ^{3}} d x

integral of ((x+1))/(sqrt(9-x^2))

\int \frac{( x + 1 )}{9 - x ^{2}} d x

integral of (3x-7)^{11}

\int (3 x - 7)^{11} d x