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2Â¥: Originally posted by mathstudy at 2014-05-07 11:42:19
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qipiqipi: ½ð±Ò+10, ¡ï¡ï¡ïºÜÓаïÖú, goodлл 2014-05-08 21:01:00
Áîr=a*Sint£¬dr=a*Cost*dt
ԭʽ=Integral{2*a^2*Sint*Cost*dt/[T-a*Cost]^2,0,¦Ð/2}
ÔÙÁîu=tg(t/2)£¬t=2*Arctgu,dt=2*du/(1+u^2)
Sint=2*u/(1+u^2)£¬Cost=(1-u^2)/(1+u^2)
ԭʽ=4*a^2*Integral{u*(1-u^2)/{(1+u^2)*[(T-a)+(T+a)*u^2]^2},0,1}
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