Statics·area-of-parabolic-section

Area Of Parabolic Section

Determine the area of a parabolic section defined by specific limits and a given function.

✓ All 2 test cases pass.

Inputs

Width of the parabola

The width parameter of the parabolic shape.

Height of the parabola

The height parameter of the parabolic shape.

Test cases

These cases run live in your browser every time the page loads. If any fail, the calculator is broken — file an issue.

#	Inputs	Expected	Got	Status
1	{"a":4,"h":3}	8	8.000000000000005	✓
2	{"a":2,"h":5}	6.666667	6.6666666666666705	✓

APIDeveloper APICall this calculator from codeexpand ↓

Endpoint

POST/api/calculators/statics/area-of-parabolic-section/compute

Inputs (2)

anumberdefault 1
hnumberdefault 1

Example

curl -sX POST http://localhost:3001/api/calculators/statics/area-of-parabolic-section/compute \
  -H "Content-Type: application/json" \
  -d '{"inputs":{"a":1,"h":1}}'

Try it live

Edit the body below, then click Call API.

Request body

Response

(click Call API to see the response)

full API docs →

Source: Pattern from: Chapter 9.pdf. Reproduces a standard area-of-parabolic-section computation; problem text paraphrased.

AI disclosure: Calculator code generated by openai/gpt-4o-mini-2024-07-18; verified by 2 test cases.