Calculus/Cal 2·average-value-of-function

Average Value Of Function

Find the average value of a function over a specified interval.

Math animationCalculus/Cal 2 · average-value-of-function

✓ All 2 test cases pass.

Inputs

Function

The function for which the average value is calculated.

Interval Start

The start of the interval.

Interval End

The end of the interval.

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	{"function":"sqrt(x)","interval_start":1,"interval_end":8}	2.059754	2.059753999805912	✓
2	{"function":"x^2","interval_start":0,"interval_end":2}	1.333333	1.3333333333333326	✓

APIDeveloper APICall this calculator from codeexpand ↓

Endpoint

POST/api/calculators/calculus-cal-2/average-value-of-function/compute

Inputs (3)

functionexpressiondefault "sqrt(x)"
interval_startnumberdefault 1
interval_endnumberdefault 8

Example

curl -sX POST http://localhost:3001/api/calculators/calculus-cal-2/average-value-of-function/compute \
  -H "Content-Type: application/json" \
  -d '{"inputs":{"function":"sqrt(x)","interval_start":1,"interval_end":8}}'

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: Calculus II Final Exam Review.pdf. Reproduces a standard average-value-of-function computation; problem text paraphrased.

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