∫dx/∛x²

1. Rewrite the integrand with a negative fractional exponent: ∫x⁻²/³ dx.

2. Apply the power rule: (x⁻²/³⁺¹)/(-2/3+1) + C = (x¹/³)/(1/3) + C.

3. Simplify: 3x¹/³ + C = 3∛x + C.