Find F ′ ( x ) {\displaystyle F'(x)} , given
F ( x ) = ∫ 0 x 2 4 − t 1 + cos 2 ( t ) d t . {\displaystyle {\begin{aligned}F(x)=\int _{0}^{x^{2}}{\frac {4-t}{1+\cos ^{2}(t)}}dt.\end{aligned}}}
, given
