Let C be the straight line curve between the points (0,5) and (1,0). Let N be the unit normal vector field on C, oriented so that it points away from the origin. Let F:R2→R2 be the vector field defined by F(x,y)=(x,11). Find the flux of F across the curve C in the direction pointing away from the origin.

∫c F⋅N ds=

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