求不定积分：∫dX/sinX+cosX

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求不定积分：∫dX/sinX+cosX

∫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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