Evaluate the line integral $\displaystyle \int_C sin \ x \ dx + cos \ y \ dy $ where C consists of the top half of the circle $\displaystyle x^2+y^2=1$ from (1,0) to (-1,0) and the line segment from (-1,0) to (-2,3)

I got 0 for the line integral over the circle, and $\displaystyle Cos \ 1- Cos \ 2 +Sin \ 3$ over the line segment. However, the answer provided is $\displaystyle Cos \ 1- Cos \ 2 +Cos \ 3$. Can someone check?

Also, anyone know a way to evaluate line integrals on Mathematica?