"""Original integration-region sketch; Python 3.14, root NumPy/Matplotlib deps. The PNG basename is written in the current working directory. """ from pathlib import Path import matplotlib matplotlib.use("Agg") import matplotlib.pyplot as plt import numpy as np def main(): x = np.linspace(0, 4.3, 400) fig, ax = plt.subplots(figsize=(6.0, 4.6), layout="constrained") fig.set_facecolor("white") ax.fill_between(x, x/2, x, color="#e0edf2") ax.plot(x, x, color="#176b9b", lw=1.8) ax.plot(x, x/2, color="#176b9b", lw=1.8) ax.plot([1.5, 1.5], [0.75, 1.5], color="#b83c32", lw=3) ax.plot([1.8, 3.6], [1.8, 1.8], color="#567e3c", lw=3) ax.annotate("$x/2\\leq y\\leq x$", (1.5, 1.1), xytext=(0.3, 2.4), arrowprops={"arrowstyle": "->", "lw": 0.9}, color="#b83c32") ax.annotate("$y\\leq x\\leq 2y$", (2.7, 1.8), xytext=(2.45, 0.9), arrowprops={"arrowstyle": "->", "lw": 0.9}, color="#567e3c") ax.text(2.75, 3.1, "$y=x$", color="#176b9b") ax.text(3.2, 1.42, "$y=x/2$", color="#176b9b") ax.text(3.25, 2.4, "$D$", fontsize=16) ax.axhline(0, color="0.35", lw=0.9) ax.axvline(0, color="0.35", lw=0.9) ax.set(xlim=(-0.1, 4.1), ylim=(-0.1, 3.7), aspect="equal", xlabel="$x$", ylabel="$y$", title="Unbounded wedge and two orders of slicing") ax.spines[["top", "right"]].set_visible(False) ax.grid(alpha=0.13) fig.savefig(Path(__file__).with_suffix(".png").name, dpi=150, facecolor="white") plt.close(fig) if __name__ == "__main__": main()