Set Up a Definite Integral or Sum of Definite Integrals $\int _ { b } ^ { a } [ f ( x ) - g ( x ) ] d x$

Set up a definite integral or sum of definite integrals that represent the indicated shaded areas over the interval [a, c]. y = g(x)

A) $\int _ { b } ^ { a } [ f ( x ) - g ( x ) ] d x$ + $\int _ { b } ^ { c } [ g ( x ) - f ( x ) ] d x$
B) $\int _ { a } ^ { b } [ g ( x ) - f ( x ) ] d x$ + $\int _ { b } ^ { c } [ f ( x ) - g ( x ) ] d x$
C) $\int _ { a } ^ { c } [ f ( x ) - g ( x ) ] d x$
D) $\int _ { a } ^ { b } [ f ( x ) - g ( x ) ] d x$ + $\int _ { b } ^ { c } [ g ( x ) - f ( x ) ] d x$