How to solve this integral? dbl-int_{S} (2x+10)dydz + (x^4-3y)dzdx + (2z+e^{xy})dxdy, S: (x+1)^2 + y^2 + (z+1)^2 = 1

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Liza1209 said:
How to solve this integral?

[imath]\raisebox{-1em}{$\stackrel{\large{\iint}}{\small{S}}$} (2x + 10)dy\,dz + (x^4 z - 3y)dz\,dx + (2z + e^{xy})dx\,dy, [/imath]

[imath]S\; : \; (x+1)^2 + y^2 + (z + 1)^2 = 1[/imath]
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