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Beliebt Rechnen >

integral from-infinity to 15 of re^{r/5}

Lösung

\int_{- \infty}^{15} r e^{\frac{r}{5}} d r

Lösung

50 e^{3}

+1

Dezimale

1004.27684 \dots

Schritte zur Lösung

\int_{- \infty}^{15} 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}^{15} r e^{\frac{r}{5}} d r = 50 e^{3} - 0

= 50 e^{3} - 0

Vereinfache

= 50 e^{3}

Beliebte Beispiele

derivative of 3x^2+8

\frac{d}{d x} (3 x^{2} + 8)

integral from-1 to 2 of (3x^2+2)

\int_{- 1}^{2} (3 x^{2} + 2) d x

limit as x approaches 1/3 x of sin(x)

x \to \frac{1}{3} x lim (sin (x))

y^{^{'}} = e^{2 x - y}

t a y l or 2 x^{2} + 2 x