Find flux on z=x^2 + y^2, 0<z<1, normal pointing down, from the vector field A=

Micimacko

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The question is: Find the flux on z=x^2 + y^2, 0<z<1, normal pointing down, from the vector field
A= (3yz^2)j + ((x^2 + y^2)z)k. I tried like this but the answer is supposed to be 5pi/12. What did I do wrong?
A1C0D5C8-62D2-46CA-AD41-DA68B1C907AE.jpg
 

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