integral from infinity to 0 of xe^x

Lösung

\int_{\infty}^{0} x e^{x} d x

divergiert

Schritte zur Lösung

\int_{\infty}^{0} x e^{x} d x

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{0}^{\infty} x e^{x} d x

\int_{0}^{\infty} x e^{x} d x =

divergiert

= divergiert

\int_{x}^{0} e^{- 4 t} d t

\int_{- 1}^{2} - x d x

\int_{1}^{6} \frac{4 x ^{2} - 3}{x ^{3}} d x

\int_{0}^{π} x^{3} cos (x) d x

\int_{2}^{4} 3 x^{5} d x