
高等数学,请问这个不定积分怎么求?
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=∫xcos(x/2)/8sin³(x/2)dx
=∫x/4sin³(x/2)dsin(x/2)
=-1/8∫xd1/sin²(x/2)
=-x/8sin²(x/2)+1/8∫csc²(x/2)dx
=-x/8sin²(x/2)-cot(x/2)/4+C
=∫x/4sin³(x/2)dsin(x/2)
=-1/8∫xd1/sin²(x/2)
=-x/8sin²(x/2)+1/8∫csc²(x/2)dx
=-x/8sin²(x/2)-cot(x/2)/4+C
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