Evaluate an integral in 3D space

Is the integration process following P in Cartesian coordinates:

$$z = \cos(x^2+1), \qquad y=1$$

Evaluate

$$\int_{(0,1,\cos(1))}^{(1,1,\cos(2))}\hat{F}dl$$

Over the integration process P and where

$$\hat{F} = \tan(x)\hat{a}_{y}$$

I believe it's something that look like this.... but my cartesian coordinate given are different... I'm not sure about the parametric of my Cartesian coordinate.

-
Is the question clear? –  fneron Jul 12 '12 at 20:22