F(x,y) is defined by the integral:
Express F(x,y) as a function of x and y, eliminating the integral sign.
I found the curl of the function to be zero, which means it is path independent and that a potential function exists... I'm now working towards building f from F and finally calculating f(x,y)-f(2,pi)
Which I did and I got:
which means the final value for the integral is:
Does my answer seem correct to you?