Changing the Order of Triple Integrals

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This video shows how to set up a triple integral using 3 different orders of integration.
  1. Mathispower4u
  2. order
  3. triple
  4. integral
  5. integration
  6. change
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Комментарии
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You have single handedly saved my college career so thank you

averyfails
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Always helpful. Just a bit confused, at 3:05 you said the first octant, and you followed by the first quadrant??

siphilipe
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Thanks for your help sir. Which programme do you use to demonstrate the shape in three dimensions?

erdiozyldrm
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OMG! I've watched a lot of videos about changing the order of triple integrals but I was always confused until I watched this one. Thank you so much!❤❤❤ @Mathispower4u

EdmondNzivugira
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that was very helpful. Thank you so much, you saved me a lot of time.

zestful
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also, how come we 're only interested by the green part in the first octant? doesn't excplicitaly say so, so how can we figure that out?

persianshawn
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THIS WAS AMAZING. THANK YOU SO MUCH I UNDERSTAND IT NOW.

vpkrishnan
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Because if you don't confine z you would get infinite as the answear.

Visualize a bowl. If you don't set the bowls height, his volume would be infinite, however if you set a height in R you will get its interior volume.

LordJogaBonito
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how come z = x^2 / 4 has a parabola form like that in the xz-plane? If it would've been z = x^2 I would understand why (just like how y = x^2 gives parabola form). But when it's divided by 4 like that, in a fraction, how do we know and what can makes us remember that it has the form of parabola?

persianshawn
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Can anyone tell why we multiply by 4???

venkateshvenkat