Calculus 2: Integration (6 of 9) Approximate the Area Under the Curve 1

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In this video I find the approximate area under f(x)=x^2+2 by adding the area of 4 rectangles.

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Very easy you make the question thanks Sir

Zubairkhan-iklk

thank you i like your way of explaining

nonichan

i love you, you are the best teacher ever

faisalahmed

Are the curves shown in the graphs wrong or do they just serve as an example for us to understand and are not accurate with the functions?

Someone-pmsk

HI Ilectureonline!
I understand that you use the integration to calculate the area under the curve, and you just measure the "y" diference between 0 and 4 on primitive. But i can't figure out why the area under the curve is equal to y values on antiderivative. Can you explain this?(or do you have any video that explains it?)

Danielagostinho

Sorry, this may seem like a stupid question but would evaluating the curve using this method also called the "Reimann" sum or are they different? Thank you.

tonishataylor

still the there is lack of explanation, how you come to conclusion for f(x1), f(x2) and so on.. what is the reason for that? where it come form?
Question two: even if we increase the amount of rectangles we get closer to the actual number or answer... but those rectangles are some part of it above the curve ! how do you explain that?

zadramm

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