integral from 3 to infinity of xe^{-x^2}

Lösung

\int_{3}^{\infty} x e^{- x^{2}} d x

\frac{1}{2 e ^{9}}

Dezimale

0.00006 \dots

Schritte zur Lösung

\int_{3}^{\infty} x e^{- x^{2}} d x

Berechne das unbestimmte Integral:

\int x e^{- x^{2}} d x = - \frac{1}{2} e^{- x^{2}} + C

Berechne die Grenzen:

\int_{3}^{\infty} x e^{- x^{2}} d x = 0 - (- \frac{1}{2 e ^{9}})

= 0 - (- \frac{1}{2 e ^{9}})

Vereinfache

= \frac{1}{2 e ^{9}}

\int_{0}^{1} (2 e^{\frac{x}{3 + 4}} + 5) d x

\int_{0}^{2} x 4 x^{2} + 1 d x

\int_{3}^{5} 6 + x^{2} d x

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

\int_{1}^{2} \frac{ln ( x ^{2} )}{x ^{3}} d x