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Beliebt Rechnen >

integral from-infinity to 0 of xe^{4x}

Lösung

\int_{- \infty}^{0} x e^{4 x} d x

Lösung

- \frac{1}{16}

+1

Dezimale

- 0.0625

Schritte zur Lösung

\int_{- \infty}^{0} x e^{4 x} d x

Berechne das unbestimmte Integral:

\int x e^{4 x} d x = \frac{1}{16} (e^{4 x} \cdot 4 x - e^{4 x}) + C

Berechne die Grenzen:

\int_{- \infty}^{0} x e^{4 x} d x = - \frac{1}{16} - 0

= - \frac{1}{16} - 0

Vereinfache

= - \frac{1}{16}

Beliebte Beispiele

integral of x^4(1-x^5)^7

\int x^{4} (1 - x^{5})^{7} d x

(\partial)/(\partial x)(wsqrt(x+2y+3z))

\frac{\partial}{\partial x} (w x + 2 y + 3 z)

limit as x approaches 2 of ([x-2])/(x-2)

x \to 2 lim (\frac{[ x - 2 ]}{x - 2})

derivative of (a^2-x^3/(b^2))

\frac{d}{d x} (\frac{a ^{2} - x ^{3}}{b ^{2}})

fläche x=7y^2,x=8+5y^2

a re a x = 7 y^{2}, x = 8 + 5 y^{2}