Let Jn = 0 x n e x dx, where n 1 is an
Question:
Let Jn = ∫∞0 xn e−αx dx, where n ≥ 1 is an integer and α>0. Prove that
and J0 = 1/α. Use this to compute J4. Show that Jn = n!/αn+1.
Transcribed Image Text:
Jn n -J₁-1 a
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Thus Using Integration by Parts with u x and v ex we get ...View the full answer
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