Calculus 2 - Integration: Finding the Area Between Curves (2 of 22) Ex. 2: y=(x^2)-2x, y=-(2x^2)+7x

In this video I will find the area bounded by the 2 curves y=e^x, y=x^2, x=0, x=2.

Next video in this series in can be seen at:

[Carlos-qzul]

So clean... Someone who writes so neatly must have a clear idea of what he says ! Love your lessons ! 👌

[mdafifabrar]

Sir, you are just amazing. I have been using YouTube for education for so many years and I can say with no doubt that you are the best among them. Your teaching style is very simple, realistic, and engaging. I have watched your videos on electrical engineering, thermodynamics, centeroids. And, I have understood those topics really well. Thank you so much for what you have done sir and what you are still doing.
Love and Respect from Bangladesh <3

[harrasmansoor]

Thankyou so much for clearing my concepts ❤

[morriswahba]

Thank you at last
Someone smart solve the hall problems without tricks thank you again

[drizzylmg]

This is just amazing, thank you! helped me so much!

[aram]

In many videos you reason about choosing the horizontal or vertical dx for the sake of simplicity, which is pretty understandable, but I would be curious to see once how to solve the problem the other, more complicated way, using partial integrals :)

[starshipx]

Just one question. I see that some area is below the x axis, so does that contribute negatively? If yes how is it possible to look at the full area between the curves with the negative area contributing positively?

[MasayoMusic]

Do you always have to graph the functions to figure out which one is on top (comes first when subtracting) or is there another way?

[ariancruzat]

Sir, what if i have two parabolas (concave up and down) that intersects one another both on the x axis and it is symmetrical on x=0, do i still have to subtract the lower y value from the upper one? I'm a little bit confused because i watch your series in area moment of inertia and there are some derivations there that adds the y values of the curves to calculate the differential area. When do i need to subtract or add the y values? Thank very much sir.

[duanedonaldson]

Professor, your videos are all done by hand on the white board, your thumbnail view on YouTube all look like they  were created by a software, may I please know this software, thank you and great videos.

[ashwinispatil]

Thank you so much sir... Can u help me for the area of curve y=x^2-3x+8 and line y=x+5

[visarbuza]

Are we actually finding the net area because the area under the x axis is negative ?

[aram]

I was wonderiing how you determined the order of subtraction? Would reversing the order and taking the absolute value of the result work here too?

[jericosuarez]

Hi sir, great video, I am from Philippines, I have a question in mind, is it always that your Y1 is the one who's the curve is open downward and Y2 is the one who's the curve is open upward? Thank you 😊

[Zainabz]

Thank you ❤
but can't we make the two equations equal to each other? Then we will get x=0 and x=3 . Why did you solve it separately?!

[superstriker]

Why Can't i intigrate the eq of both the parabola seperatey and then subtract one from the other

[HotCopperPC]

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