Calculus/Cal 2·definite-integral-evaluation

Definite Integral Evaluation

Calculate the value of a definite integral over a specified interval.

Math animationCalculus/Cal 2 · definite-integral-evaluation

✓ All 2 test cases pass.

Inputs

Integrand Function

The function to be integrated.

Lower Limit

The lower limit of integration.

Upper Limit

The upper limit of integration.

Test cases

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#	Inputs	Expected	Got	Status
1	{"integrand":"sec^2(x)","lower_limit":0,"upper_limit":"pi/4"}	1	1.0000000000001679	✓
2	{"integrand":"3*x^2","lower_limit":1,"upper_limit":2}	7	7.000000000000002	✓

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Endpoint

POST/api/calculators/calculus-cal-2/definite-integral-evaluation/compute

Inputs (3)

integrandexpressiondefault "sec^2(x)"
lower_limitnumberdefault 0
upper_limitnumberdefault "pi/4"

Example

curl -sX POST http://localhost:3001/api/calculators/calculus-cal-2/definite-integral-evaluation/compute \
  -H "Content-Type: application/json" \
  -d '{"inputs":{"integrand":"sec^2(x)","lower_limit":0,"upper_limit":"pi/4"}}'

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 definite-integral-evaluation computation; problem text paraphrased.

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