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wesley

[交流] 诚心请教一个高等数学问题——积分!?!?

各位虫虫,下面这个积分怎么算啊,诚心求教!!!谢谢

∫(1/cosθ)dθdθ=?
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wesley

这位虫虫同志,你太强了,小弟不胜感激


谢谢,谢谢,万分感谢

二重积分有没有办法继续下去
3楼2006-10-25 13:45:56
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huhulolo

金虫 (初入文坛)

★
bird007(金币+1):3q
∫(1/cosθ)dθ=∫(cosθ /(cosθ)^2)dθ
                           =∫(1/[1-(sinθ)^2])dsinθ
                           =1/2∫(1/[1+sinθ])dsinθ+1/2∫(1/[1-sinθ])dsinθ
                           =1/2[∫(1/[1+sinθ])d(1+sinθ)-∫(1/[1-sinθ])d(1-sinθ)]

[ Last edited by huhulolo on 2006-10-25 at 10:41 ]
2楼2006-10-25 10:40:14
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