Length of a Polyline Along a Cubic Curve
Author: shiroeExecutions: 15
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Enter a, b, c, and d.
Enter a non-zero number for a.
For the x-coordinates of the starting point and the ending point,
enter values such that
"the x-coordinate of the starting point < the x-coordinate of the ending point."
Specify a natural number for the number of segments.
Enter a non-zero number for a.
For the x-coordinates of the starting point and the ending point,
enter values such that
"the x-coordinate of the starting point < the x-coordinate of the ending point."
Specify a natural number for the number of segments.
| Length of an Interval | |
| Length of a Subdivided Interval | |
| Length of a Line Segment |
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Let the equation be of the form y = f(x),
where f(x) = ax³ + bx² + cx + d.
We divide the interval from the starting point’s x-coordinate to the ending point’s x-coordinate along the x-axis, calculate the value of
f(x) at each point in the division, and connect them with a polyline.
We then find the length of this polyline.