Manim Academy

Area under a curve

Area under a curve preview
remixableManimCE2Dintegralloop

manim/area_under_curve.py

"""Area under a curve: the upper limit sweeping, the fill following it.

Render (the driver does this for every palette; these are for eyeballing):
    P=/opt/homebrew/opt/python@3.11/bin/python3.11
    ASSET_MODE=still  $P -m manim -s -t -r 1600,1600 manim/area_under_curve.py AreaUnderCurve
    ASSET_MODE=motion $P -m manim -qh   -r 1600,1600 manim/area_under_curve.py AreaUnderCurveLoop
"""

import numpy as np
from manim import (
    DOWN,
    LEFT,
    UP,
    DashedLine,
    NumberPlane,
    Text,

The full Manim source and the rendered video come with a plan.

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