Question

Which expression gives the indefinite integral of \[f'(x)\]?

Options

• \[\int f(x)\,dx=f'(x)+C\]

• \[\int f'(x)\,dx=f(x)+C\]

• \[\int f'(x)\,dx=f'(x)+C\]

• \[\int f'(x)\,dx=f(x)\]

Answer 1

An antiderivative of \[f'(x)\] is \[f(x).\] The arbitrary constant \[C\] must be included because all antiderivatives differing by a constant have the same derivative.