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Beliebt Rechnen >

integral from 0 to 1 of y/(e^{3y)}

Lösung

\int_{0}^{1} \frac{y}{e ^{3 y}} d y

Lösung

- \frac{4}{9 e ^{3}} + \frac{1}{9}

+1

Dezimale

0.08898 \dots

Schritte zur Lösung

\int_{0}^{1} \frac{y}{e ^{3 y}} d y

Wende die partielle Integration an

= [- \frac{1}{3} e^{- 3 y} y - \int - \frac{1}{3} e^{- 3 y} d y]_{0}^{1}

\int - \frac{1}{3} e^{- 3 y} d y = \frac{1}{9} e^{- 3 y}

= [- \frac{1}{3} e^{- 3 y} y - \frac{1}{9} e^{- 3 y}]_{0}^{1}

Berechne die Grenzen:

- \frac{4}{9 e ^{3}} + \frac{1}{9}

= - \frac{4}{9 e ^{3}} + \frac{1}{9}

Graph

Beliebte Beispiele

\frac{d y}{d x} = x + 2 y

integral of e^6θsin(7θ)

\int e^{6} θ sin (7 θ) d θ

\frac{d}{d y} (3 y^{2})

derivative of (cos^2(x)dx)

\frac{d}{d x} ((cos^{2} (x)) d x)

limit as x approaches 0-of-1/(x^3)

x \to 0 - lim (- \frac{1}{x ^{3}})