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merge: Created midpoint integration numerical method (#822)

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* Created midpoint integration numerical method

* Auto-update DIRECTORY.md

* Added resources link

* Fixed doxumentation

* Fixed spelling error

Co-authored-by: ggkogkou <ggkogkou@ggkogkou.gr>
Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
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ggkogkou
2021-10-28 15:39:40 +03:00
committed by GitHub
parent 072523d594
commit 1cd3b8683a
3 changed files with 71 additions and 0 deletions
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16
Maths/test/MidpointIntegration.test.js Normal file
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import { integralEvaluation } from '../MidpointIntegration'
test('Should return the integral of f(x) = sqrt(x) in [1, 3] to be equal 2.797434', () => {
const result = integralEvaluation(10000, 1, 3, (x) => { return Math.sqrt(x) })
expect(Number(result.toPrecision(6))).toBe(2.79743)
})
test('Should return the integral of f(x) = sqrt(x) + x^2 in [1, 3] to be equal 11.46410161', () => {
const result = integralEvaluation(10000, 1, 3, (x) => { return Math.sqrt(x) + Math.pow(x, 2) })
expect(Number(result.toPrecision(10))).toBe(11.46410161)
})
test('Should return the integral of f(x) = log(x) + Pi*x^3 in [5, 12] to be equal 15809.9141543', () => {
const result = integralEvaluation(20000, 5, 12, (x) => { return Math.log(x) + Math.PI * Math.pow(x, 3) })
expect(Number(result.toPrecision(10))).toBe(15809.91415)
})