Find the amount of work (ω) done by moving a point from (2;0) to (1;3) along the curve y=4-(x^2), in the effect of force F=(x-y;x).
The Attempt at a Solution
ω = ∫((x-y)dx + xdy)
ω = ∫(x-4+x^2)dx + ∫√(4-y) dy
In the end, I get this: http://www.wolframalpha.com/input/?i=%28integrate+%28x-4%2Bx^2%29+from+1+to+2%29+%2B+%28integrate+sqrt%284-y%29+from+0+to+3%29
with the final answer 4,5. Is it correct?