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Find a Function ff Such That F=f\mathbf { F } = \nabla f

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Find a function ff such that F=f\mathbf { F } = \nabla f and use it to evaluate CFdr\int _ { C } \mathbf { F } \cdot d \mathbf { r } along the given curve CC .
F(x,y)=yi+(x+10y)j\mathbf { F } ( x , y ) = y \mathbf { i } + ( x + 10 y ) \mathbf { j }
CC is the upper semicircle that starts at (1,2)( 1,2 ) and ends at (5,2)( 5,2 ) .

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