3. Consider the following statement: "If F(x) is an anti-derivative of f(x), then [F(x)] is an anti-derivative of [f(x)]?." Determine whether or not the statement is correct. If it is correct, give some kind of justification for why it is correct. If it is incorrect, provide an example which shows that it is does not hold. This statement is in correct Example to prove: f ( x ) = ex F(x ) = ex anti derivative of f (20) Y [f ( x ) ] 2 = Lex ]z = e 2 x F ( x ) = [ f (x ) ax +c 3 common integral ( P (x)J = = Sexax = eax > P (x ) = ex + c