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Beliebt Rechnen >

integral of z^3e^z

Lösung

\int z^{3} e^{z} d z

Lösung

z^{3} e^{z} - 3 (z^{2} e^{z} - 2 (e^{z} z - e^{z})) + C

Schritte zur Lösung

\int z^{3} e^{z} d z

Wende die partielle Integration an

= z^{3} e^{z} - \int 3 z^{2} e^{z} d z

\int 3 z^{2} e^{z} d z = 3 (z^{2} e^{z} - 2 (e^{z} z - e^{z}))

= z^{3} e^{z} - 3 (z^{2} e^{z} - 2 (e^{z} z - e^{z}))

Füge eine Konstante zur Lösung hinzu

= z^{3} e^{z} - 3 (z^{2} e^{z} - 2 (e^{z} z - e^{z})) + C

Graph

Beliebte Beispiele

derivative of arctan(ln(x^2))

\frac{d}{d x} (arctan (ln (x^{2})))

derivative of ln(sqrt(2x))

\frac{d}{d x} (ln (2 x))

integral of 8/(x+1)

\int \frac{8}{x + 1} d x

(\partial)/(\partial x)(5/(5x+3y))

\frac{\partial}{\partial x} (\frac{5}{5 x + 3 y})

inverselaplace (10)/(s(s+2)(s+3)^2)

in v erse l a pl a ce \frac{10}{s ( s + 2 ) ( s + 3 ) ^{2}}