Continuous Functions and Integration: True or False?

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a) if f and g are continuous on [a,b] then:

int [f(x)g(x) dx] = int [f(x) dx] * int [g(x) dx]

i said false.

b) if f is continuous on [a,b] then

int [xf(x) dx] = x int [f(x) dx]

again i said false (x isn't constant)
 
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Yep. you're right in both cases.
 
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