$\int _ { a } ^ { b } ( f ( x ) - g ( x ) ) d x$

$\int _ { a } ^ { b } ( f ( x ) - g ( x ) ) d x$ expresses the area between the curves y = f(x) and y = g(x) from $x = a \operatorname { to } x = b$ only if:

A) f(x) is greater than or equal to g(x) for all x between a and b , and neither f(x) nor g(x) crosses the x-axis .
B) f(x) is greater than or equal to g(x) for all x between a and b .
C) f(x) and g(x) do not cross each other between x = a and x = b .
D) neither f(x) and g(x) cross the x-axis.
E) none of these

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