Find \(\int _ { 0 } ^ { \infty } x ^ { n } e ^ { - x } d x , n \in \mathbb { Z } , n > 0 .\)
$\int_0^\infty x^ne^{-x}\,dx=n!$
P-TRIV-RA20
- Area
- Real Analysis
- Status
- draft
P-TRIV-RA20
Find \(\int _ { 0 } ^ { \infty } x ^ { n } e ^ { - x } d x , n \in \mathbb { Z } , n > 0 .\)