Continuous Functions and Integration: True or False?

[dnt]

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)

 

[d_leet]

Yep. you're right in both cases.