Area Between Curves: Parabola y = x² - 2x and Line y = 4 - x #3301543 (License: Personal Use)

The image displays a Cartesian coordinate system with two functions: a downward-opening parabola labeled y = 4 - x (actually a line) and an upward-opening parabola y = x² - 2x. They intersect at x = -1 and x = 2, but the shaded region highlights the area between them specifically from x = -1 to x = 0, bounded vertically by the two curves. Vertical lines at x = -1 and x = 0 frame the region of integration.

This image is commonly used in calculus textbooks or online tutorials illustrating definite integrals for computing the area between two curves. It supports educational content targeting students learning integral applications, especially when setting up integrals with respect to x.