Calculus 2 - Finding the Area Under the Curve (8 of 10) Example of Negative Area 1

In this video I will show you how to find the area under a curve with example of negative area y= 60x-6x^2

Next viedo in this series can be seen at:

[thedrunkmonk]

Thanks for all of these. Making it easier to fly through Physics and Cal 2, definitely will continue watching as I finish degree

[aram]

Looks like graphing is not only a "good idea", but rather a must. Without it you won't be able to determine the absolute value of the total area. For example, when you find a local extreme of a differential, you are able to tell whether it's a min or a max, by taking the second derivative - this is a purely computational method. But here, we don't seem to be able to get away without drawing. Of course, when you get a result <=0, and this is sort of a warning sign. But when you get a positive end result, you might not even realize that a part of the area was negative.

[franciscodanconia]

Net bending moment in cantilevered beams. Holy crap it’s all coming together. You’re a great teacher.

[luchuynh]

hope you hit the one million soon! Thank you a lot!

[anasmir]

what we will do if we dont have the ghraph in question

[ernestogaddi]

I'm trying to solve like this last night and it's always ended to zero hahahaha. Thanks to you sir. I need to study more and watch you sir. Thank God bless.

[LinkinParkAsh]

Have you made a video explaining the concept of what negative area is? I'd like to watch that since i cant get a good intuition of it

[noreldenzenky]

Sir could we say if the question want the area then we seprate the integral and make the modulus for each integral . Or the above curve - the lower curve .
Because area must be positive .but if the question want the definite integra the result could be negative . Thanks about your work

[praphullbadghaiya]

area never be negative you are teaching wrong