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Beliebt Rechnen >

integral from-infinity to 0 of e^{6x}

Lösung

\int_{- \infty}^{0} e^{6 x} d x

Lösung

\frac{1}{6}

+1

Dezimale

0.16666 \dots

Schritte zur Lösung

\int_{- \infty}^{0} e^{6 x} d x

Berechne das unbestimmte Integral:

\int e^{6 x} d x = \frac{1}{6} e^{6 x} + C

Berechne die Grenzen:

\int_{- \infty}^{0} e^{6 x} d x = \frac{1}{6} - 0

= \frac{1}{6} - 0

Vereinfache

= \frac{1}{6}

Beliebte Beispiele

derivative of ln(5^x)

\frac{d}{d x} (ln (5^{x}))

(\partial)/(\partial x)((-4)/(x+y))

\frac{\partial}{\partial x} (\frac{- 4}{x + y})

derivative y= 1/(7x^{6/7)}

d er i v a t i v e y = \frac{1}{7 x ^{\frac{6}{7}}}

tangent f(x)=x^2-7,(4,9)

t an g e n t f (x) = x^{2} - 7, (4, 9)

inverselaplace ((s+1))/((s^2+4s+20))

in v erse l a pl a ce \frac{( s + 1 )}{( s ^{2} + 4 s + 20 )}