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Beliebt Rechnen >

integral from-infinity to 4 of re^{r/2}

Lösung

\int_{- \infty}^{4} r e^{\frac{r}{2}} d r

Lösung

4 e^{2}

+1

Dezimale

29.55622 \dots

Schritte zur Lösung

\int_{- \infty}^{4} r e^{\frac{r}{2}} d r

Berechne das unbestimmte Integral:

\int r e^{\frac{r}{2}} d r = 4 (\frac{1}{2} e^{\frac{r}{2}} r - e^{\frac{r}{2}}) + C

Berechne die Grenzen:

\int_{- \infty}^{4} r e^{\frac{r}{2}} d r = 4 e^{2} - 0

= 4 e^{2} - 0

Vereinfache

= 4 e^{2}

Beliebte Beispiele

derivative of x^2+5x-2

\frac{d}{d x} (x^{2} + 5 x - 2)

integral of-cos(2θ)

\int - cos (2 θ) d θ

(dy)/(dx)=(x+y)^2+1

\frac{d y}{d x} = (x + y)^{2} + 1

integral of-x^2+4

\int - x^{2} + 4 d x

integral of x^7sin(x^4)

\int x^{7} sin (x^{4}) d x