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References to other Issues or PRs

An intermediate step towards #23485.
Ultimate goal is to support all kinds of P(x)*sqrt(a+bx+cx^2) and P(x)/sqrt(a+bx+cx^2) where P is polynomial.

Brief description of what is fixed or changed

Previously these all can't be calculated.

from sympy import *
from sympy.abc import a,b,c,d,e,x
integrate((7*x+6)/sqrt(3*x**2+4*x+5))
integrate((7*x+6)/sqrt(-3*x**2+4*x+5))
integrate((7*x+6)/sqrt(3*x**2+4*x-5))

Other comments

Steps in SymPy Beta. The rest steps are the same with #23489
Screenshot from 2022-05-17 21-21-28

Release Notes

  • integrals
    • Support integrate((d+ex)/sqrt(a+bx+cx**2))

@eagleoflqj eagleoflqj requested a review from oscarbenjamin May 18, 2022 01:23
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sympy-bot commented May 18, 2022

Hi, I am the SymPy bot (v167). I'm here to help you write a release notes entry. Please read the guide on how to write release notes.

Your release notes are in good order.

Here is what the release notes will look like:

This will be added to https://github.com/sympy/sympy/wiki/Release-Notes-for-1.11.

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#### References to other Issues or PRs
<!-- If this pull request fixes an issue, write "Fixes #NNNN" in that exact
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An intermediate step towards #23485.
Ultimate goal is to support all kinds of `P(x)*sqrt(a+bx+cx^2)` and `P(x)/sqrt(a+bx+cx^2)` where P is polynomial.
#### Brief description of what is fixed or changed
Previously these all can't be calculated.
```py
from sympy import *
from sympy.abc import a,b,c,d,e,x
integrate((7*x+6)/sqrt(3*x**2+4*x+5))
integrate((7*x+6)/sqrt(-3*x**2+4*x+5))
integrate((7*x+6)/sqrt(3*x**2+4*x-5))
```
#### Other comments
Steps in SymPy Beta. The rest steps are the same with #23489
![Screenshot from 2022-05-17 21-21-28](https://user-images.githubusercontent.com/26783539/168937893-16f2528d-fb26-4ae6-9722-156d93ae9b02.png)

#### Release Notes

<!-- Write the release notes for this release below between the BEGIN and END
statements. The basic format is a bulleted list with the name of the subpackage
and the release note for this PR. For example:

* solvers
  * Added a new solver for logarithmic equations.

* functions
  * Fixed a bug with log of integers.

or if no release note(s) should be included use:

NO ENTRY

See https://github.com/sympy/sympy/wiki/Writing-Release-Notes for more
information on how to write release notes. The bot will check your release
notes automatically to see if they are formatted correctly. -->

<!-- BEGIN RELEASE NOTES -->
* integrals
  * Support integrate((d+ex)/sqrt(a+bx+cx**2))
<!-- END RELEASE NOTES -->

Update

The release notes on the wiki have been updated.

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github-actions bot commented May 18, 2022

Benchmark results from GitHub Actions

Lower numbers are good, higher numbers are bad. A ratio less than 1
means a speed up and greater than 1 means a slowdown. Green lines
beginning with + are slowdowns (the PR is slower then master or
master is slower than the previous release). Red lines beginning
with - are speedups.

Significantly changed benchmark results (PR vs master)

Significantly changed benchmark results (master vs previous release)

       before           after         ratio
     [77f1d79c]       [b418faaa]
     <sympy-1.10.1^0>                 
+       114±0.8ms        205±0.7ms     1.80  sum.TimeSum.time_doit

Full benchmark results can be found as artifacts in GitHub Actions
(click on checks at the top of the PR).

@oscarbenjamin
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Looks good

@oscarbenjamin oscarbenjamin merged commit 4035afd into sympy:master May 20, 2022
@eagleoflqj eagleoflqj deleted the integrate_sqrt_quadratic branch May 20, 2022 15:02
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3 participants