Question

Why is there no need to write the constant of integration \(C\) while evaluating a definite integral?

Options

• It cancels while evaluating the definite integral

• It is equal to the lower limit

• It is equal to the upper limit

• It changes \(F'(x)\) into \(f(t)\)

Answer 1

The same constant \(C\) would occur in both \(F(b)\) and \(F(a)\).
Therefore, it cancels in the difference \(F(b)-F(a)\).