Calculus 2: Integration (3 of 9) Definite Integral (What is the Integral of Acceleration?)

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In this video I will explain what is a definite integral and the meaning of the area under the curve.

Next video in the series can be seen at:
  1. Michel van Biezen
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  3. ilectureonline.com
  4. Mike
  5. Mike van Biezen
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Комментарии
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Mr. Professor Your lectures ought to be mandatory. It is brilliant.

jakubkusmierczak
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With integral you are not counting velocity, but area!! Derivatives and differences are for the changes over time or locally.

hannukoistinen
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My calculus teacher is horrible at teaching. Thank you for being a great teacher and teaching me Calculus!!

FAWLSSS
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Nice and gentle application of integral.

MrVoayer
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Hi, if the integral of acceleration yields the velocity formula, and we want to find the velocity at t = 5, why we we need the area? Shouldn't we just input t =5 into the velocity formula (which we obtain via integration). Thanks.

MasayoMusic
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How beautiful, thank you for the great explanation! Conceptually, how exactly does the integral work out to be the area underneath the section of the graph? Like why would the velocity be represented by area of the graph?

EP-rqpn
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i think there is a mistake in your solution. 31.25 is the distance not the velocity, because the area below the line is the distance. Also the name of vertical axis is not a but v and its unit is defined by metre per sesond.

kendout
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Can you solve this by using indefinite integral sir?

nellvincervantes