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高数不定积分求详细解答过程
1个回答
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凑微分,分部积分
∫u/sin²udu
=∫ucsc²udu
=-∫udcotu
=-ucotu+∫cotudu
=∫cosu/sinudu-ucotu
=∫1/sinudsinu-ucotu
=ln|sinu|-ucotu+C
∫u/sin²udu
=∫ucsc²udu
=-∫udcotu
=-ucotu+∫cotudu
=∫cosu/sinudu-ucotu
=∫1/sinudsinu-ucotu
=ln|sinu|-ucotu+C
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