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U = 2x³ + 4
du = 6x² dx
3x² dx = ¹/₂ du
∫ (3x²)(2x³+4)^(⁻¹/²) dx = ¹/₂ ∫ u ⁻¹/² du
= ¹/₂ (2) u¹/² + c
= u¹/²
= √(2x³+4) + c