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Multiple Integrals 17: Area of a Three-Petaled Rose

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Uploaded by on Feb 28, 2008

Polar double integral used to find the area of the beautiful three-petaled rose.

For a more in depth look at multiple integrals or other calculus related topices, please visit www.gaussianmath.com

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Uploader Comments (donylee)

  • Hi Dony your integrals lessons are great :D. BUT What abaut more complicated things like Volume of solid between Cone and Hiperboloid or Triple integrals ?

  • Yup.

    Triple integrals. I know how to do them but didn't get the chance to make a video series on them.

    Hopefully in the future.

  • Can you please, please help me understand the optimization? I know it a beginers level but it would be a grat help. thanks

  • Optimization? This is not an optimization problem which I assume uses differentiation.

    Or you mean parameterization?

  • have you done anything on the uniqueness and existence, or exactness theorems?

  • Nope, sorry. Haven't dwelled in that area and probably won't anytime soon. I'm considering taking on Linear Algebra as used in Quantum Mechanics next.

    Thanks for your interest.

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All Comments (29)

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  • Thanks for these videos, i learn a lot from you and I like your style; i think that people explaining maths should be more excited and energetic like you.

    But to find the limits for teta, couldnt we just look at the equitation r= sin3teta and find that teta has to be 0 or pi/3 (+k2pi) in order for to be zero. Is there something wrong with that method?

  • Ok,... :) Now these concepts are going to be embedded in my mind forever and ever !!

  • lol, in one regional competition for high schoolers, there was the question: What is the largest integer less than 1/sqrt(2)+1/sqrt(3)+...1/sqrt(­10000). I thought I could try some tricks, because i thought a high school math competition didn't require Calc, but after my last resort of using calc to bound the sum, I got mad >=(

  • hmmm...it.s good but can you pls slow? ;P

  • Thanks man! Im deeply grateful for your lessons, I was just desperately looking for some more :D I even learned more english here, cause i had to understand your fast speaking x) . Guess Im now ready for some more maths in the ETH =P

  • thank you so much donny!

    I loved your explanation of the rose....was really helpful! ^__^

  • Multiple Integrals 17 2:23

    Three Petaled Rosey 17

    Carl Edward Saganye 0:17

    Three Petaled Rosey 17

    Multiple Integrals 17 2:23

    Petaled Rose

    donylee Drsg

  • Multiple Integrals 17

    Three Petaled Rosey 17

    Carl Edward Saganye 0:17

    Three Petaled Rosey 17

    Multiple Integrals

    Petaled Rose

    donylee Drsg

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