Pregunta: ∫02∫−ππ1+cos4xsinxycos(y)dxdy= a. 1−cos(2) b. 1+cos(2) c. 1 d. 0 e. cos(2)

Note: $\begin{array}{c}{\int }_{-\mathrm{a}}^{\mathrm{a}}\mathrm{f}\left(\mathrm{x}\right)=\{\begin{array}{cc}2{\int }_0^{a}f\left(x\right)dx& \text{ if f(x) is an even function}\\ 0& \text{ if f(x) is an odd function}\end{array}\end{array}$

Given Double integral ${\int }_0^2{\int }_{-\pi }^{\pi }\frac{\sin \mathrm{x}}{1+{\cos }^4\mathrm{x}}\mathrm{y}\cos \mathrm{y}\mathrm{d}\mathrm{x}\mathrm{d}\mathrm{y}$