Evaluate surface integral of double integral of Z dS, where S is the surface x = y+2z^2, 0

Base on your question where ask to evaluate the integral of double integral z dS, where S is a surface x=y+2z^2,0 base on my calculation and analyzing the question and the equation i came up with an answer of 148 (66 3/2 - 2 2√) I hope you are satisfied with my answer and feel free to ask for more