It would be great if you could provide clear explanation for the True or False question. Thank you.

Select all the antiderivatives of f(ac) = 2 2 + 1 OF(ac) = In |ac| + In |ac2 + 1| OF(ac) = In a + tan (3x) OF(ac) = In |ac| + tan-1(ac2 + 1) OF(ac) = In |ac| + tan lac OF(x) = In 3x| + tan xFor each statement, decide whether it is necessarily True, or whether it can be False. . If F(x) is an antiderivative of f(x) =a2 , then F' (x) =2x . [ Select ] . If F(x) is an antiderivative of f(x) , and G(x) is an antiderivative of g(x) , then F(x) + G(x) is an antiderivative of f(x) +g(x) . [ Select ] . If F(x) is an antiderivative of f(x) , and G(x) is an antiderivative of g(x) , then F(x) . G(x) is an antiderivative of f(r).g(r) . [ Select ] . If Fi and F2 are two antiderivatives of f, then F1 = F2 . [ Select ]