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 .

Related questions
See all questions in The Definite Integral
Impact of this question
59071 views around the world
You can reuse this answer
Creative Commons License