__Question 1:__

**True or False**. If F(x) is an antiderivative of f(x) and c is any constant, then F(x) + c is also an antiderivative of f(x).

__Answer :__

True.

Differentiate F(x) + c.

__Question 2:__

**True or False**. If F(x) is an antiderivative of f(x), then

(1/c) F(c x) is an antiderivative of f(c x), where c is any non zero constant.

__Answer :__

True.

Let u = c x and Differentiate (1 / c) F(c x) with respect to x

d/dx( (1 / c) F(c x) )

= (1 / c) d(u)/dx dF/du (chain rule)

= (1/c) c f(u) = f(c x)

__Question 3:__

**True or False**. An antiderivative of function f **plus** an antiderivative of function g is an antiderivative of function f + g.

__Answer :__

True. Use the rule of differentiation to differentiate F + G, where F is the antiderivative of f and G is the antiderivative of g, and see that you can get f + g.

__Question 4:__

**True or False**. An antiderivative of function f **divided** by an antiderivative of function g is an antiderivative of function f / g.

__Answer :__

False. Use the rule of differentiation to differentiate F / G, where F is the antiderivative of f and G is the antiderivative of g, and see that you cannot get f / g.

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