Solve: int_0^infty [x]e^(-x)dx

seguitzi2

seguitzi2

Answered question

2022-10-02

Solve:
0 [ x ] e x d x

Answer & Explanation

Helena Bentley

Helena Bentley

Beginner2022-10-03Added 10 answers

Answer:
0 x e x d x = n = 0 n n + 1 x e x d x = n = 0 n n + 1 n e x d x = n = 0 n ( e n e ( n + 1 ) ) = ( e 1 e 2 ) + ( 2 e 2 2 e 3 ) + ( 3 e 3 4 e 4 ) + = 1 e + 1 e 2 + 1 e 3 + = 1 e 1 1 e = 1 e 1

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