Practice question · Select all that apply
Select every statement that is TRUE of the DEFINITE integral of f from a to b.
Hints
- Two options belong to the indefinite integral or to plain geometry rather than to this one.
- Recall what happened to the integral of x from -2 to 2.
Show the answer
- B. It is defined as a limit of sums of rectangle areas
- C. It is a single number
- E. Regions below the x-axis contribute negatively
Why
A definite integral is one number, built as a limit of Riemann sums, and it is signed. No constant appears because there is no family of functions, and the signed total can be smaller than the geometric area whenever part of the curve dips below the axis.
Practise The Definite Integral and Area
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