Arc Length Use the integration capabilities of a graphing utility to approximate to two-decimal-place accuracy the elliptical integral representing the circumference of the ellipse
The equation of ellipse .
The arc length of an ellipse, is formulated as where .
Consider the equation of the ellipse, .
Compare the provided equation with the standard equation of ellipse . Here, it is observed that the provided ellipse has the ordinate as the major axis..
So, it is clear from the provided equation that and .
Now, calculate the eccentricity for the ellipse, which is formulated as, .
Substitute and in the equation,
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