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求不定积分:∫dX/sinX+cosX
人气:161 ℃ 时间:2020-04-09 16:05:42
解答
∫dx/(sinx+cosx)
=√2∫ dx/(sin(x+π/4)
= √2∫ csc(x+π/4)) dx
=√2ln |csc(x+π/4) - cot(x+π/4)| + C
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