Let Jn x n e x2 2 dx (a) Show that J 1 e x2 2 (b) Prove that J n x n1 e x2 2 (n 1)J n2 (c) Use (a) and (b) to compute J 3 and J 5 ...

a Let u 2 Then du xdx and J Sxe 12 dx fe eu du e C ex12 C b Using I ...

Let Jn = x n e x2 /2 dx. (a) Show that J 1 = e x2/2

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Let Jn = ∫xⁿ e^−x2^/2 dx.
(a) Show that J₁ = −e^−x2/2.
(b) Prove that J_n= −xⁿ⁻¹e^−x2/2 + (n − 1)J_n−2.
(c) Use (a) and (b) to compute J₃ and J₅.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Dec 07, 2023 08:06 AM

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Let Jn = x n e x2 /2 dx. (a) Show that J 1 = e x2/2

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a Let u 2 Then du xdx and J Sxe 12 dx fe eu du e C ex12 C b Using I...View the full answer

Calculus

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