Integral Calculus lesson 4 - How to find the area under a curve (definite integrals)

In this lesson we learn how integrating an equation will give us an equation for calculating the area under the curve. We then use definite integrals to find the area under a curve between specific x coordinates.

[brandonpanuco]

thanks fam, this video still holds up

[saikiran]

Hi can I know how to get equation for a curve. Above in second curve how did you get that equation y=-x2+4x-1

[fatihturan]

thank you magic monk! it was a good reminder lesson.

[s.akhtar]

Is there any way to verify our results by drawing the graph?

[yellowpotato]

Dude. At 5:10, why is it that when you integrated x, there is no '+ c' in the answer?

[matttindugan]

should it be the integral of ydx where y=x

[tladybug]

At first you said you wanted to find the area under the curve from X=1 to X= 3 then you found it from [0, 3]

[kokogul]

he said at the start we will be finding the area from 1-3 but then says the base is 3 but from one to three it's 2 so base would be 2

[Kalo]

what if we dont know the interval of x?

[karthikbalaji]

I get the answer this because of the fact that we integrate it into rectangles but since it is a curve there is always a little bit of space left? If so...Wow we can only approximately guess the area under a curve

[xcalcovarze]

Hey Monk. are you speaking slow on purpose to make a 5 minute video into a 13 minute one?

[Zinebjbr]

You're good but dude try to speak faster pleasee I think that is why you have these many dislikes