true or false with reason a)if f is continuous in[a,b] then integration b a x *f(x)dx= x integration b a f(x)dx b) if f is continuous in[a,b] and f(x)>=0 then integration b a f(x) 1/2 dx=(integration...

true or false with reason

a)if f is continuous in[a,b] then integration^b
_a
x *f(x)dx= x integration^b
_af(x)dx

b) if f is continuous in[a,b] and f(x)>=0 then integration^b
_af(x)^1/2dx=(integration^b
_a
f(x)dx)^1/2

^{c) If f and g are continuous and f(x) ≥ g(x) for a ≤ x ≤ b, then}

integration^b
_af(x)dx>integration^b
_ag(x)dx