integral of y/(e^{-y)}

Lösung

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

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

Schritte zur Lösung

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

Wende die partielle Integration an

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

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

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

Füge eine Konstante zur Lösung hinzu

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

d o main f (x) = \frac{x - x ^{2}}{x ^{3} + 2}

y^{^{''}} + 9 y = 4 cos (2 x)

\frac{\partial}{\partial x} (2 e^{y})

y^{^{''}} - 4 y = 9 e^{t}, y (0) = 0, y^{^{'}} (0) = 0

x \to - 1 lim (5 - 2 x - x^{2})