求不定积分∫sin(2x)/(1+cosx)dx
人气:223 ℃ 时间:2020-03-02 09:00:48
解答
∫sin(2x)/(1+cosx)dx =∫2sinxcosxdx/(1+cosx)=-2∫cosxd(cosx)/(1+cosx)=-2∫cosxd[ln(1+cosx)]使用分部积分法得到下一步=-2cosxln(1+cosx)+2∫ln(1+cosx)dcosx=-2cosxln(1+cosx)+2∫ln(1+cosx)d(1+cosx)此步骤...
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