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∫ cos⁴ 2x sin 2x dx
u = cos 2x --> du = -2 sin 2x dx
sin 2x dx = -1/2 du
∫ cos⁴ 2x sin 2x dx = -¹/₂ ∫u⁴ du
= - ⁻¹/₂ (¹/₅)(u)⁵ + c
= - ¹/₁₀ (cos⁵ 2x ) + c