calculate $\displaystyle \int_{c}Fdr where F(x,y)=(e^{x}-4ycos^{2}x)i+(2x-sin2x-ln(y^{2}+1))j$ and the curve C is $\displaystyle y(x)=-\sqrt{1-x^{2}}$ where $\displaystyle -1\leq x\leq1$

i closed this curve with y=0 and did double integral over the bounded area

instead of caulculating the curve integral.

in the photo it written that it wrong i dont know why?