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Beliebt Rechnen >

integral from-infinity to 20 of re^{r/5}

Lösung

\int_{- \infty}^{20} r e^{\frac{r}{5}} d r

Lösung

75 e^{4}

+1

Dezimale

4094.86125 \dots

Schritte zur Lösung

\int_{- \infty}^{20} r e^{\frac{r}{5}} d r

Berechne das unbestimmte Integral:

\int r e^{\frac{r}{5}} d r = 5 e^{\frac{r}{5}} r - 25 e^{\frac{r}{5}} + C

Berechne die Grenzen:

\int_{- \infty}^{20} r e^{\frac{r}{5}} d r = 75 e^{4} - 0

= 75 e^{4} - 0

Vereinfache

= 75 e^{4}

Beliebte Beispiele

integral of (sqrt(2x+1))/(x+1)

\int \frac{2 x + 1}{x + 1} d x

integral of-1ln(x^2-1)

\int - 1 ln (x^{2} - 1) d x

y^'=(2x)/(1+2y),y(0)=2

y^{^{'}} = \frac{2 x}{1 + 2 y}, y (0) = 2

integral of sec(x/5)

\int sec (\frac{x}{5}) d x

inverselaplace 1/(s(s^2+5s+6))

in v erse l a pl a ce \frac{1}{s ( s ^{2} + 5 s + 6 )}