Question 1029009
{{{f(x) = x^4}}} and {{{g(x) = sqrt(abs(x))}}} are both symmetric wrt the y-axis, and hence we can only consider all non-negative x-values.
(They intersect at the points (-1,1), (0,0), and (1,1).)

==> Area = {{{2*int((sqrt(x) - x^4),dx,0,1) = 2((2/3)x^(3/2) - x^5/5)[0]^1 = 2(2/3 - 1/5) = 14/15}}}