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Unformatted text preview: integrals. This is not true in Cartesian coordinates. Let us perform the three integrals in Eq. (7). Integral 1. 2 1 I d 2 = = . (8a) Integral 2. 2 2 I sin cos d . = Letting y cos = and thus 2 dy sin d , I =  becomes 1 2 2 1 2 I y dy 3= = . (8b) Integral 3 We need the result at the bottom of text page 244, which is n ax n 1 n! x e dx a h+ = . Using this relation we have that 4 r 3 I r e dr 4! 24 h= = = . (8c) Thus comparing Eq. (7) and (8) gives that 1 2 3 I I I I 32 = = . (9) Thus from Eq. (6) T ....
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 Fall '08
 OldSleepyMan
 Cartesian Coordinate System, Atom, Polar coordinate system, Coordinate systems, Eqs., spherical polar form

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