theorem Th1925: :: INTEGR21:23

for a, b, c, d, r being Real
for Y being RealBanachSpace
for f being continuous PartFunc of REAL, the carrier of Y st a <= b & ['a,b'] c= dom f & c in ['a,b'] & d in ['a,b'] holds
integral ((r (#) f),c,d) = r * (integral (f,c,d))