Opened 4 years ago
Last modified 7 days ago
#17910 new task
unsolved piecewise integrals metaticket
Reported by: | rws | Owned by: | |
---|---|---|---|
Priority: | major | Milestone: | sage-wishlist |
Component: | calculus | Keywords: | abs_integrate |
Cc: | kcrisman | Merged in: | |
Authors: | Reviewers: | ||
Report Upstream: | N/A | Work issues: | |
Branch: | Commit: | ||
Dependencies: | Stopgaps: |
Description (last modified by )
Archive of removed doctests testing the abs_integrate
Maxima package (removed with #12731).
integrate(1/sqrt(abs(y(x))), y(x)) integrate(sgn(x) - sgn(1-x), x) integrate(1 / (1 + abs(x-5)), x, -5, 6) integrate(1/(1 + abs(x)), x) integrate(cos(x + abs(x)), x) integrate(sqrt(x + sqrt(x)), x).canonicalize_radical() integrate(abs(x^2 - 1), x, -2, 2) - sage: f = sqrt(x + 1/x^2) - sage: maxima = sage.calculus.calculus.maxima - sage: maxima('radexpand') - true - sage: integrate(f, x) - integrate(sqrt(x + 1/x^2), x) - sage: maxima('radexpand: all') - all - sage: g = integrate(f, x); g - 2/3*sqrt(x^3 + 1) - 1/3*log(sqrt(x^3 + 1) + 1) + 1/3*log(sqrt(x^3 + 1) - 1) - sage: f1(x) = e^(-abs(x)) - sage: f = Piecewise([[(-infinity, infinity), f1]]) - sage: f.integral(definite=True) - 2 - sage: f.integral() - Piecewise defined function with 1 parts, [[(-Infinity, +Infinity), x |--> -1/2*((sgn(x) - 1)*e^(2*x) - 2*e^x*sgn(x) + sgn(x) + 1)*e^(-x) - 1]]
Also, these have their own tickets:
Change History (5)
comment:1 Changed 4 years ago by
- Description modified (diff)
- Milestone changed from sage-6.6 to sage-wishlist
comment:2 Changed 4 years ago by
- Cc kcrisman added
comment:3 Changed 4 years ago by
- Description modified (diff)
comment:4 Changed 4 years ago by
comment:5 Changed 7 days ago by
- Keywords abs_integrate added
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