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(1/sin(x/2)+cos(x/2)) 不定积分
人气:191 ℃ 时间:2020-04-20 08:04:52
解答
∫dx/[(sinx/2)+cos(x/2)]=∫[cos(x/2)-sin(x/2)]dx/[cos(x/2)^2-sin(x/2)^2]=∫cos(x/2)dx/cosx-∫sin(x/2)dx/cosx=2∫dsin(x/2)/[1-2sin(x/2)^2] + 2∫dcos(x/2)/[2(cosx/2)^2-1]=∫d(sinx/2)/(1-√2sin(x/2)) +∫...
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