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Beliebt Rechnen >

integral from 1 to 4 of integral from 1 to sqrt(x of)2ye^{-x}

Lösung

\int_{1}^{4} \int_{1}^{x} 2 y e^{- x} d y d x

Lösung

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

+1

Dezimale

0.29461 \dots

Schritte zur Lösung

\int_{1}^{4} \int_{1}^{x} 2 y e^{- x} d y d x

\int_{1}^{x} 2 y e^{- x} d y = e^{- x} (x - 1)

= \int_{1}^{4} e^{- x} (x - 1) d x

\int_{1}^{4} e^{- x} (x - 1) d x = - \frac{4}{e ^{4}} + \frac{1}{e}

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

Beliebte Beispiele

integral of x(x^2+3)^{12}

\int x (x^{2} + 3)^{12} d x

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30y^{''}-25y^'=0

30 y^{^{''}} - 25 y^{^{'}} = 0

integral of xe^{sqrt(x)}

\int x e^{x} d x

integral from 0 to 1 of (e^z+1)/(e^z+z)

\int_{0}^{1} \frac{e ^{z} + 1}{e ^{z} + z} d z