int xcdot sqrt [3](x^2)dx (3x^2cdot sqrt [3](x^2))/(8)+C 0.375sqrt [3](x^8)+C (3x^frac (8)/(3))(8)+C

To solve the integral , we can rewrite the expression as .Using the power rule for integration, we have: Simplifying the exponent, we get: Multiplying the numerator and denominator by 3, we obtain: Therefore, the correct answer is .