Question

Find the sum of the two areas created by the intersection of () and () from [0, 1].b) If the region created on 0 ≤ ≤ 0.528 is the base of a solid whose cross sectionsperpendicular to the -axis are squares, determine the volume of the solid.

Answer 1

Given the functions:

$f(x)=x+e^{x^2-3x}$$g(x)=x^4-x^2+1$

You can graph them using a graphic tool and then identify their points of intersection:

a) You can identify that the area created by the intersection of the functions is: