Calculus/Cal 2·convergence-of-integrals

Convergence Of Integrals

Assess whether the given integrals converge or diverge, and if they converge, compute their values.

Math animationCalculus/Cal 2 · convergence-of-integrals

✓ All 2 test cases pass.

Inputs

Integral Expression

The mathematical expression of the integral to evaluate.

Test cases

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#	Inputs	Expected	Got	Status
1	{"integral_expression":"1/x^2"}	1	0.9999990009717088	✓
2	{"integral_expression":"1/x"}	diverges	diverges	✓

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Endpoint

POST/api/calculators/calculus-cal-2/convergence-of-integrals/compute

Inputs (1)

integral_expressionexpressiondefault "1/x^2"

Example

curl -sX POST http://localhost:3001/api/calculators/calculus-cal-2/convergence-of-integrals/compute \
  -H "Content-Type: application/json" \
  -d '{"inputs":{"integral_expression":"1/x^2"}}'

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 convergence-of-integrals computation; problem text paraphrased.

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