`f(x)` and `g(x)` are polynomical of degree 2 such that `|int_(a_(1))^(a_(2))(f(x) - 1)dx|=|int_(b_(1))^(b_(2))(g(x)-1)dx|`
where `a_(1), a_(2)(a_(2) gt a_(1))` are roots of equation `f(x) = 1` and `b_(1), b_(2)(b_(2) gt b_(1))` are roots of equation `g(x) = 1`. If `f"(x)` and `g"(x)` are positive constant and
`|int_(a_(1))^(a_(2))f((x))dx|=(a_(2)-a_(1))-|int_(b_(1))^(b_(2))(f(x)-1)dx|` but `|int_(b_(1))^(b_(2))(g(x))dx|ne(b_(2) - b_(1))-|int_(b_(1))^(b_(2))(g(x)-1)dx|`then

Options

A. `|f"(x)|lt |g"(x)|`
B. `|f"(x)|gt|g"(x)|`
C. `a_(2)-a_(1)gt b_(2) - b_(1)`
D. `a_(2) - a_(1) gt b_(2) - b_(1)`

Answer

A, C