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vaishnavi902 wants to merge 2 commits into from
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Added comment #14293

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vaishnavi902 Feb 19, 2026
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[pre-commit.ci] auto fixes from pre-commit.com hooks
pre-commit-ci[bot] Feb 19, 2026
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9 changes: 5 additions & 4 deletions maths/area_under_curve.py
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Original file line number Diff line number Diff line change
Expand Up @@ -7,6 +7,7 @@
from collections.abc import Callable


# The trapezoidal rule is a numerical method to approximate the area under a curve
def trapezoidal_area(
fnc: Callable[[float], float],
x_start: float,
Expand All @@ -33,17 +34,17 @@ def trapezoidal_area(
>>> f"{trapezoidal_area(f, -4.0, 4.0, 10000):.4f}"
'384.0000'
"""
x1 = x_start
xone = x_start
fx1 = fnc(x_start)
area = 0.0
for _ in range(steps):
# Approximates small segments of curve as linear and solve
# for trapezoidal area
x2 = (x_end - x_start) / steps + x1
x2 = (x_end - x_start) / steps + xone
fx2 = fnc(x2)
area += abs(fx2 + fx1) * (x2 - x1) / 2
area += abs(fx2 + fx1) * (x2 - xone) / 2
# Increment step
x1 = x2
xone = x2
fx1 = fx2
return area

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