Question

Which condition permits direct use of the First Fundamental Theorem and the Second Fundamental Theorem on \([a,b]\)?

Options

• The function should be continuous on the interval

• The function should have a constant of integration \(C\)

• The upper limit should equal the lower limit

• The function should be written only in terms of \(t\)

Answer 1

For direct use of the theorem, the function should be continuous on the interval.
In both theorem statements, \(f\) is required to be continuous on \([a,b]\).