[area to y-axis] Get the area between a curve and y-axis. #manim #plot #area #axes

20240904_area_1.py

from manim import *
# https://discord.com/channels/581738731934056449/753938743366254642/1280962332469624953
class Test(Scene):
    def construct(self):
        ax1 = Axes(
            x_range=[-1, 7, 10],
            y_range=[0, 6, 10],
            x_length=6,
            y_length=5
        ).add_coordinates()
        ax1_labels = ax1.get_axis_labels()
        ax1_group = VGroup(ax1, ax1_labels)

        f2 = ax1.plot(lambda x: -0.1*x**3 + 0.6*x**2 - 1.7*x + 5, x_range=[0, 4.65538, 0.001], color=BLUE)
        self.add(ax1_group, f2)

        y1 = 1
        y2 = 4
        rect = Polygon(
            ax1.c2p(0,y1),
            ax1.c2p(7,y1),
            ax1.c2p(7,y2),
            ax1.c2p(0,y2),
            fill_opacity=0.7
        )
        self.add(rect)
        area_under = ax1.get_area(f2)
        self.add(area_under)

        area_to_y = Intersection(rect,area_under).set_fill(opacity=0.6,color=RED)
        self.add(area_to_y)
        self.wait()
        self.remove(rect,area_under)
        self.wait()

readme.md

https://discord.com/channels/581738731934056449/753938743366254642/1280962332469624953