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anonymous

  • 5 years ago

please help me set up an integral for the equation: (x^(2)/(4))+y^(2)=1

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  1. anonymous
    • 5 years ago
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    All I know is that it is an ellipse. But I don't know how to set up an integral. I think it would go from x=-2 to x=+2

  2. anonymous
    • 5 years ago
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    To find the area of the ellipse? What level of calculus is this?

  3. anonymous
    • 5 years ago
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    Not to find the area. But to just set up the integral. Calculus 2

  4. anonymous
    • 5 years ago
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    Set up an integral that will give the length of the following curve. Setup the integral so that you integrate from the smallest x value on the curve to the largest.

  5. anonymous
    • 5 years ago
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    hey branlegr, I just found it out! lol

  6. anonymous
    • 5 years ago
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    the correct answer is: 2sqrt(1+((x^(2))/(16-4x^(2))))

  7. anonymous
    • 5 years ago
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    Yes, but you'll want to make sure you write the whole integral with the limits of integration. An answer would be... \[s=2\int\limits_{-2}^{2}\sqrt{1+x^2/(16-4x^2)}dx\] However, you could change the 2 in front of the integral to a 4 and change the limits of integration from -2 to 2 to 0 to 2.

  8. anonymous
    • 5 years ago
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    Thanks alot! I kept looking back at what I was doing wrong and I forgot the 2 in front of the integral

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