(1+tan(x))/sin(2x)不定积分
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(1+tan(x))/sin(2x)不定积分
(1+tan(x))/sin(2x)不定积分
(1+tan(x))/sin(2x)不定积分
∫[(1+tanx)/sin(2x)]dx = ∫csc2xdx +∫[tanx/(2sinxcosx)]dx
= (1/2)∫csc2xd2x +(1/2)∫[1/(cosx)^2]dx
= (1/2)ln |csc2x-cot2x| +(1/2)∫(secx)^2dx
= (1/2)ln |csc2x-cot2x| +(1/2)tanx+C
(1+tan(x))/sin(2x)不定积分
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