Let the graph of y=f(x) be defined by the function y+y³=x and let the graph of y=g(x) be defined by the function 2y=x.
(a) Using graphing software (like Desmos), sketch a graph of the equations and shade the area of the region bounded/enclosed between the two curves.
(b) Set up and evaluate the integral(s) needed to determine the area of the enclosed region between the graphs. Integrate with respect to either the x-axis or y-axis, whichever seems more convenient. Verbally justify to a neighbor why your choice is the more convenient.