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Area Between Two Curves: y = 4 - x² and y = x² - 2x #42608 (License: Personal Use)

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Graph showing intersection of y = 4 - x² and y = x² - 2x, with shaded region between x = -1 and x = 0.

About this clipart

This hand-drawn coordinate graph illustrates two quadratic functions: a downward-opening parabola y = 4 - x² and an upward-opening parabola y = x² - 2x. Their intersection points and the vertical lines at x = -1 and x = 0 frame a shaded region, indicating the definite integral used to compute the enclosed area in calculus.
Used in educational contexts-calculus textbooks, online tutorials, or lecture slides-to demonstrate finding areas between curves via integration. Matches user intent for visualizing integration bounds and function intersections.
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Related Cliparts: Visual calculus example calculating the area bounded by parabolas y = 4 - x² and y = x² - 2x from x = -1 to x = 0. Ideal for math students and educators.

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