量子力学常用积分公式量子力学常用积分公式(1) dxexanexadxexaxnaxnaxn11)0( n(2) )cossin(sin22bxbbxabaebxdxeax ax(3) axdxeaxcos)sincos(22bxbbxabaeax(4) axxaaxaaxdxxcos1sin1sin2(5) axdxx sin2axax aaxaxcos)2(sin2222(6) axaxaxaaxdxxsincos1cos2(7)axaaxaxaxaxdxxsin)2(cos2cos3222()ln(2222caxxaaccaxx0a(8) dxcax2(a0)arcsin(222xcaaccaxx(正偶数)2 0sin xdxn 2! !)!1( nn n(9) =(正奇数)2 0cos xdxn ! !)!1( nn n()20a(10) 0sindxxax()20a(11) ()10!nnax andxxe0,an正整数(12) adxeax 2102(13) 12102 2!)!12(2nnaxn andxex(14) 1012 2!2naxn andxex(15) 2sin022adxxax(16) () 0222)(2sinbaabbxdxxeax0a() 022222)(cosbababxdxxeax0a