How am I supposed to calculate the following double integral in python and get a result in terms of t equation
f(x) and g(y) are polynomials.
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3How would you do it without Python? – mkrieger1 Jun 26 '21 at 18:14
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f(x) and g(y) are polynomials and the integral can be calculated directly. For example, you can suppose f(x)=x, g(y)=y – Shi Feng Jun 26 '21 at 18:20
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And what would be the result in terms of t? – mkrieger1 Jun 26 '21 at 18:23
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[link](https://www.wolframalpha.com/input/?i=%5Cint_%7B0%7D%5E%7Bt%7D%5Cint_%7Bt%2Bx%7D%5E%7B1%7Dxydydx) I can solve using Worfram Alpha, but I want to automate the process in python – Shi Feng Jun 26 '21 at 18:28
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1The first step would be to design how to represent the polynomials and the integration with Python data structures. Then write functions which take these as input and do the symbolic math. – mkrieger1 Jun 26 '21 at 18:31
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thanks I understand, but I was asking if there is any library that already does that. – Shi Feng Jun 26 '21 at 18:35
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Okay, actually you weren't exactly asking that, but yes, there is such a library. – mkrieger1 Jun 26 '21 at 18:40
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See https://stackoverflow.com/questions/506748/symbolic-mathematics-python – mkrieger1 Jun 26 '21 at 18:41
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E.g. using sympy:
>>> from sympy import *
>>> init_printing(use_unicode=False, wrap_line=False)
>>> x = Symbol('x')
>>> y = Symbol('y')
>>> t = Symbol('t')
>>> integrate(integrate(x * y, (y, t + x, 1)), (x, 0, t))
4 / 2\
11*t 2 |1 t |
- ----- + t *|- - --|
24 \4 4 /
>>>
See: https://docs.sympy.org/latest/modules/integrals/integrals.html
Roman Pavelka
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