求积分 cos2x/cos^xsin^2x dx求积分cos2x/cos^xsin^2x dx

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求积分 cos2x/cos^xsin^2x dx求积分cos2x/cos^xsin^2x dx

求积分 cos2x/cos^xsin^2x dx求积分cos2x/cos^xsin^2x dx
求积分 cos2x/cos^xsin^2x dx
求积分
cos2x/cos^xsin^2x dx

求积分 cos2x/cos^xsin^2x dx求积分cos2x/cos^xsin^2x dx
∫ cos2x / (sinx * cosx) dx
= ∫ cos2x / (1/2 * sin2x) dx
= 4∫ cos2x / (sin2x) dx
= 4∫ csc2x * cot2x dx
= -2∫ csc2x * cot2x d(2x)
= -2csc2x + C
= -2/(sin2x) + C
= -secx*cscx + C