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Problem statement attached. The correct way to do this seems to plug in your given x, y, z into F then integrate the dot product of F and <x',y',z'> dp from 0 to 1, however, this results in way too messy of an integral. Answer is 3/e.
<e^(sin(pi*p/2))((1e^p)/(1e))e^(ln(1+p)/ln(2)),e^((1e^p)/(1e))(ln(1+p)/ln(2))e^(sin(pi*p/2)),e^(ln(1+p)/ln(2))(sin(pi*p/2))e^((1e^p)/(1e))>.<2^(x1)ln(2),2/(pi*sqrt(1y^2),(e1)/((e1)y+1)>
<e^(sin(pi*p/2))((1e^p)/(1e))e^(ln(1+p)/ln(2)),e^((1e^p)/(1e))(ln(1+p)/ln(2))e^(sin(pi*p/2)),e^(ln(1+p)/ln(2))(sin(pi*p/2))e^((1e^p)/(1e))>.<2^(x1)ln(2),2/(pi*sqrt(1y^2),(e1)/((e1)y+1)>
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