Given a polynominal, each coefficient of which is rational, with one argument, output an expression with only 1, definite integral, and variables, that equals to it. E.g. -x2 can be expressed as ∫x∫111dtxdu.
E := 1 | var | ∫EEEdvar
Reasonable input/output method allowed
Samples:
Your score will be the your code length multiply how many symbol ∫ used on the test cases. You should be able to score your program. Lowest score win.
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