Surface of infinity

Calculus Level 4

Find the surface S bounded for y 2 = x 2 x 4 y^2 = x^2 - x^4 from x=-1 to x=1.

S can be written as S= m n \frac {m}{n} where m and n are co-prime positive integers. Submit m + n

Surface of infinity


The answer is 7.

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1 solution

Otto Bretscher
Nov 19, 2015

The area is 4 0 1 x 1 x 2 d x = 4 3 4\int_0^1 x \sqrt{1-x^2} dx=\frac{4}{3} by u u -substitution. (This will make a nice question for the calculus final I have to write next month...thanks!)

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