Practice question · Select all that apply
Select every statement about definite integrals that is true.
Hints
- Two of the false ones are the standard confusions with the indefinite integral and with reversal of limits.
- Reversing the limits does something to the answer, but not nothing.
Show the answer
- A. The integral of f from a to a is 0
- C. The integral from a to c equals the integral from a to b plus the integral from b to c
- E. Area lying below the axis contributes negatively
Why
A strip of zero width accumulates nothing; adjacent intervals add; below-axis area subtracts. Reversing the limits flips the sign rather than preserving it, and a definite integral is a number, so no + C appears.
Practise The Definite Integral
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