1. Prove that (a) dx dy=₁ r(1) T(m) TU+m+1) him where D is the domain r20, y 20 and x+y

Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
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1. Prove that
(a) -1 - 1 da dy =
Г(1) Г (m)
r(+m+1)
ht where D is the domain r20, y 20 and x+ych.
(b)dxdydz=
T()T(m) [(n)
r(l+m+n+1)
where V is the region x 20, y 20, z 20 and x + y + z 51. This important result is known as Dirichlet's
integral*.
Transcribed Image Text:1. Prove that (a) -1 - 1 da dy = Г(1) Г (m) r(+m+1) ht where D is the domain r20, y 20 and x+ych. (b)dxdydz= T()T(m) [(n) r(l+m+n+1) where V is the region x 20, y 20, z 20 and x + y + z 51. This important result is known as Dirichlet's integral*.
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