Practice question · Select all that apply
Select every statement about the area between two curves that is true.
Hints
- Only one option contradicts the lesson.
- Ask which statement confuses signed area with area between curves.
Show the answer
- A. The formula fails whenever either curve lies below the x-axis.
- B. When the curves cross, the interval must be split at the crossing.
- D. The integrand is the vertical gap: top curve minus bottom curve.
- E. Where a region is easier described by its left and right edges, integrate in y instead.
Why
All are true except the second: subtracting one curve from the other measures the gap between them, and a gap is positive wherever the top curve really is on top, regardless of where the axis lies.
Practise Area Between Curves
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