Calculates the length of a broken line along a parabola.
Author: shiroeExecutions: 29
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Let the equation of the parabola be y = ax² + bx + c.
Enter a, b, and c in the input fields.
Enter a non-zero value for a.
Enter the “x-coordinate of the starting point” and the “x-coordinate of the endpoint.”
(x-coordinate of the starting point < x-coordinate of the endpoint)
Enter the number of intervals, n.
(n ≤ 1)
Calculate the length of the broken line and display the result.
The rest is for reference only.
Enter a, b, and c in the input fields.
Enter a non-zero value for a.
Enter the “x-coordinate of the starting point” and the “x-coordinate of the endpoint.”
(x-coordinate of the starting point < x-coordinate of the endpoint)
Enter the number of intervals, n.
(n ≤ 1)
Calculate the length of the broken line and display the result.
The rest is for reference only.
| Length of a Line Segment | |
| Reference: Length of a Curve |
Digit display setting: 50 digits. Fixed digits.
Real number calculation mode.
Real number calculation mode.
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Consider a given interval on the x-axis and divide it into n equal parts.
For the starting point, ending point, and intermediate x-coordinates within that interval,
calculate the y-coordinates of the parabola, and then
calculate the length of the line segment connecting the points (x, y) with a broken line.