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Beliebt Rechnen >

integral of ((1-y)e^y)/(y^2)

Lösung

\int \frac{( 1 - y ) e ^{y}}{y ^{2}} d y

Lösung

- \frac{e ^{y} ( 1 - y )}{y} - e^{y} + C

Schritte zur Lösung

\int \frac{( 1 - y ) e ^{y}}{y ^{2}} d y

Wende die partielle Integration an

= - \frac{e ^{y} ( 1 - y )}{y} - \int e^{y} d y

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

= - \frac{e ^{y} ( 1 - y )}{y} - e^{y}

Füge eine Konstante zur Lösung hinzu

= - \frac{e ^{y} ( 1 - y )}{y} - e^{y} + C

Graph

Beliebte Beispiele

y(8x-9y)dx+2x(x-3y)dy=0

y (8 x - 9 y) d x + 2 x (x - 3 y) d y = 0

derivative of ax*e^{bx}

\frac{d}{d x} (a x \cdot e^{b x})

tangent f(x)=(11x-1)^{-1/5},\at x=3

t an g e n t f (x) = (11 x - 1)^{- \frac{1}{5}}, at x = 3

(\partial)/(\partial x)((-y)/(x^2+y^2))

\frac{\partial}{\partial x} (\frac{- y}{x ^{2} + y ^{2}})

derivative of ln((2x+3^2))

\frac{d}{d x} (ln ((2 x + 3)^{2}))