A question I am tackling just now is to calculate the line integral of
f(x,y) = (x+y^2) / sqrt(1 + x^2) over the curve (c) : y = x^2/2 from (1,0.5) to (0,0).
Well I started by parametrizing: r(t) = ti + (t^2 / 2)j. then I do the usual procedure. But the integral I calculate is from (0,0) to (0,0.5)... Can I just reverse the sign?? Otherwise using r(t) = (1-t)i + ((1-t)^2 / 2)j would be a bit complicated...
Is my way of thinking right??