The region R is enclosed by the curves y=x2−4x+3 and y=−x+3.
A student must decide whether to calculate the area of R using vertical slices (integration with respect to x) or horizontal slices (integration with respect to y).
a. Part 1: Explain, without performing any area calculations, which slicing direction will require fewer definite integrals to obtain the exact area of R. In your explanation, reference the relative positions of the two curves and the number of intersection points observable along each axis.