theorem :: FUZZY_6:34

for a, b, c being Real
for f, g, h being Function of REAL,REAL st a <= b & b <= c & f is continuous & g is continuous & h = (f | [.a,b.]) +* (g | [.b,c.]) & f . b = g . b holds
integral (((id REAL) (#) h),['a,c']) = (integral (((id REAL) (#) f),['a,b'])) + (integral (((id REAL) (#) g),['b,c']))