If f(x) and g(x) are continuous on [a, b], which one of the following statements is false?

Question

the integral from a to b of the sum of f of x and g of x, dx equals the integral from a to b of f of x, dx plus the integral from a to b of g of x dx
the integral from a to b of the product of f of x and g of x, dx equals the integral from a to b of f of x, dx times the integral from a to b of g of x dx
the integral from a to b of 6 times f of x, dx equals 6 times the integral from a to b of f of x, dx
None are false

Answer 1

The first option I believe is false.
Hoped it helped!