How can a definite integral be negative?

1 Answer
AJ Speller
Sep 25, 2014

Yes, a definite integral can be negative.

Integrals measure the area between the x-axis and the curve in question over a specified interval.

If ALL of the area within the interval exists above the x-axis yet below the curve then the result is positive .

OR

If ALL of the area within the interval exists below the x-axis yet above the curve then the result is negative .

OR

If MORE of the area within the interval exists below the x-axis and above the curve than above the x-axis and below the curve then the result is negative .

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