Negative definite integrals | Integration and accumulation of change | AP Calculus AB | Khan Academy

We learned that definite integrals give us the area under the curve and above the x-axis. But what if the curve itself is below the x-axis? In this case, the definite integral is still related to area, but it's negative. See how this works and get some intuition for why this is so.

AP Calculus AB on Khan Academy: Bill Scott uses Khan Academy to teach AP¨_ Calculus at Phillips Academy in Andover, Massachusetts, and heÕs part of the teaching team that helped develop Khan AcademyÕs AP¨_ lessons. Phillips Academy was one of the first schools to teach AP¨_ nearly 60 years ago.

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[au._.]

You are the best !! I'm only 12 and I can learn Calculus!

[KevinS]

Very good video, excellent explanation!

[camdamcool]

Hey sal! Since I see you're doing calculus again, will you go over double/ triple integrals again? Love your vids, they really helped me :)

[ayonsaha]

Ms. Cheng gang, where are ya'll at?