[*]=-∫lnsinχd(cotχ)=-cotχlnsinχ+∫cotχ[*]dχ =-cotχlnsinχ+∫(csc2χ-1)dχ=-cotχlnsinχ-cotχ-χ+C

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答案[*]=-∫lnsinχd(cotχ)=-cotχlnsinχ+∫cotχ[*]dχ =-cotχlnsinχ+∫(csc2χ-1)dχ=-cotχlnsinχ-cotχ-χ+C

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