Which of the following is true for definite integrals and indefinite integrals

1. An indefinite integral is the inverse of a definite integral.

2. An indefinite integral of a function f(x) produces a new function F(x); A definite integral of f(x) evaluates the function F(x) at the limits of the definite integral giving the volume under f(x) between the limits.

3. An indefinite integral of a function f(x) produces a new function F(x); A definite integral of f(x) evaluates the function F(x) at the limits of the definite integral giving the area under f(x) between the limits.

4. A definite integral of a function f(x) produces a new function F(x); An indefinite integral of f(x) evaluates the function F(x) at the limits of the indefinite integral giving the area under f(x) between the limits.

5. An indefinite integral of a function f(x) produces a new function F(x); A definite integral of f(x) produces a different function G(x) and evaluates it at the limits of the definite integral.



I'm taking non-calculus physics, but he thought it would be "fun" to throw in some calculus mumbo-jumbo.

1. False.
2. Almost entirely true, but kinda false. "Volume" should probably be replaced with "area". So I guess it's false.
3. I guess this is true. It seems to address what I mentioned in 2.
4. False.
5. False.