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Beliebt Rechnen >

integral from-infinity to 16 of re^{r/4}

Lösung

\int_{- \infty}^{16} r e^{\frac{r}{4}} d r

Lösung

48 e^{4}

+1

Dezimale

2620.71120 \dots

Schritte zur Lösung

\int_{- \infty}^{16} r e^{\frac{r}{4}} d r

Berechne das unbestimmte Integral:

\int r e^{\frac{r}{4}} d r = 4 e^{\frac{r}{4}} r - 16 e^{\frac{r}{4}} + C

Berechne die Grenzen:

\int_{- \infty}^{16} r e^{\frac{r}{4}} d r = 48 e^{4} - 0

= 48 e^{4} - 0

Vereinfache

= 48 e^{4}

Beliebte Beispiele

integral of (1-x^2)^{-1/2}

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

derivative of 100x^{3/2}

\frac{d}{d x} (100 x^{\frac{3}{2}})

sum from n=1 to infinity of (4/9)^{2n+1}

n = 1 \sum \infty (\frac{4}{9})^{2 n + 1}

tangent f(x)=x^2+x,\at x=2

t an g e n t f (x) = x^{2} + x, at x = 2

y^{''}+3y^'+3y=0

y^{^{''}} + 3 y^{^{'}} + 3 y = 0