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

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

Mathematics
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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
To find the area of the ellipse? What level of calculus is this?
Not to find the area. But to just set up the integral. Calculus 2

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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.
hey branlegr, I just found it out! lol
the correct answer is: 2sqrt(1+((x^(2))/(16-4x^(2))))
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.
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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