question_answer

\[If\int\limits_{0}^{1}{\left( 1+{{\sin }^{4}}x \right)}\left( a{{x}^{2}}+bx+c \right)dx=\int\limits_{0}^{2}{\left( 1+{{\sin }^{4}}x \right)}\]      \[\left( a{{x}^{2}}+bx+c \right)dx\],then the quadratic equation

A)  At least one root in (1, 2)           

B)  No root in (1, 2)

C)  Two equal roots in (1, 2)            

D)  Both roots imaginary