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Beliebt Rechnen >

integral of t/(e^t)

Lösung

\int \frac{t}{e ^{t}} d t

Lösung

- \frac{t}{e ^{t}} - \frac{1}{e ^{t}} + C

Schritte zur Lösung

\int \frac{t}{e ^{t}} d t

Wende die partielle Integration an

= - \frac{t}{e ^{t}} - \int - \frac{1}{e ^{t}} d t

\int - \frac{1}{e ^{t}} d t = \frac{1}{e ^{t}}

= - \frac{t}{e ^{t}} - \frac{1}{e ^{t}}

Füge eine Konstante zur Lösung hinzu

= - \frac{t}{e ^{t}} - \frac{1}{e ^{t}} + C

Graph

Beliebte Beispiele

integral of (x+3)/(x^2-x+4)

\int \frac{x + 3}{x ^{2} - x + 4} d x

y^{''}+2y^'+y=4e-t

y^{^{''}} + 2 y^{^{'}} + y = 4 e - t

derivative 1y^2-7y^4(y+9y^3)

d er i v a t i v e 1 y^{2} - 7 y^{4} (y + 9 y^{3})

limit as x approaches 36 of (x^2)/9-4/x

x \to 36 lim (\frac{x ^{2}}{9} - \frac{4}{x})

integral of 7/(4+7x)

\int \frac{7}{4 + 7 x} d x