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Beliebt Rechnen >

integral of ye^y-e^y

Lösung

\int y e^{y} - e^{y} d y

Lösung

e^{y} y - 2 e^{y} + C

Schritte zur Lösung

\int y e^{y} - e^{y} d y

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int y e^{y} d y - \int e^{y} d y

\int y e^{y} d y = e^{y} y - e^{y}

\int e^{y} d y = e^{y}

= e^{y} y - e^{y} - e^{y}

Vereinfache

= e^{y} y - 2 e^{y}

Füge eine Konstante zur Lösung hinzu

= e^{y} y - 2 e^{y} + C

Graph

Beliebte Beispiele

integral of (2-e^x)/(6e^{4x)}

\int \frac{2 - e ^{x}}{6 e ^{4 x}} d x

integral of sqrt(1+(2/3 x^{-1/3))^2}

\int 1 + (\frac{2}{3} x^{- \frac{1}{3}})^{2} d x

integral of 5/(8y-7)

\int \frac{5}{8 y - 7} d y

integral of x^3*arctan(x)

\int x^{3} \cdot arctan (x) d x

integral of ((x^2)/3-3/(2x-3)-e^{3x})

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