∫ dx/[sin^(2) x·cos^(2) x]
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∫dx/[sin^(2)x·cos^(2)x]∫dx/[sin^(2)x·cos^(2)x]∫dx/[sin^(2)x·cos^(2)x]∫dx/(sin²xcos²x)=∫dx/
∫ dx/[sin^(2) x·cos^(2) x]
∫ dx/[sin^(2) x·cos^(2) x] 
∫ dx/[sin^(2) x·cos^(2) x]
∫ dx/(sin²xcos²x)
= ∫ dx/(sinxcosx)²
= ∫ dx/(1/2 * sin2x)²
= ∫ dx/[(1/4)sin²2x]
= 4∫ csc²2x dx
= 4(1/2)∫ csc²2x d(2x)
= 2(-cot2x) + C
= -2cot2x + C
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