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edited title

edited Apr 17, 2018 at 4:44

user202729

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Polynomial -> Integrate

Given a polynomial in one variable with rational coefficients, output an equivalent expression that only 1, variables, and definite integrals. For example, -x² can be expressed as ∫_x^∫₁¹1dtxdu.

E := 1 | var | ∫_E^EEdvar

Any reasonable input/output method is allowed.

Examples:

$\Large 1=1\ \Large x=x\ \Large 0 = \int_1^1 1\text dt\ \Large 2 = \int_{\int_1^{\int_1^1 1\text dv} 1\text du}^1 1\text dt\ \Large x^2=\int_{\int_1^1 1\text dt}^x x\text dv\ \Large \frac 12=\int_{\int_1^1 1\text dt}^1 v\text dv$

Your score will be the your code length multiplied by the number of ∫ symbols used on the test cases. You should be able to score your program. Lowest score wins.

Test cases:

4/381*x^2+49/8*x^3-17/6
311/59*x^2-92/9*x^3-7/15*x
333/29*x^3+475/96*x^8

math code-challenge

asked Apr 17, 2018 at 3:52

l4m2

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