# Math Help - Find area bounded by the curve

1. ## Find area bounded by the curve

Find area of region bound by

y^2=x^2-x^4

2. ## Do you know how to integrate?

If so, just solve for y, then integrate.

3. Originally Posted by krakra
Find area of region bound by

y^2=x^2-x^4
First try and draw a graph of this curve.

By symmetry the area is 4 times the area between the curve and the x-axis from x = 0 to x = 1 of $y = \sqrt{x^2 - x^4} = x \sqrt{1 - x^2}$.

To do the integral I suggest making the substitution $u = 1 - x^2$.