line integral help please?

Jake

New member
find the line integral f of the vector field

F(x,y) = (1/xy^2,1/x^2y)
c: r(t) = (sqrt(t),sqrt(1+t)) from (1,sqrt(2)) to (2,sqrt(5))

i said t is from 1 to 4

then i took this integral

integrate 1/(1+t) + 1/t from 1 to 4 and i found ln10 but the result is ln(8/5)

why?
 
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