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 rws)

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:

  • integrate(x * sgn(x^2 - 1/4), x, -1, 0) (#11590)
  • integral(log(abs(2*sin(u))), u, 0, pi/3) (#17468)
  • integrate(abs(cos(x)),x,0,pi) (#17511)

Change History (5)

comment:1 Changed 4 years ago by rws

  • Description modified (diff)
  • Milestone changed from sage-6.6 to sage-wishlist

comment:2 Changed 4 years ago by kcrisman

  • Cc kcrisman added

comment:3 Changed 4 years ago by rws

  • Description modified (diff)

comment:4 Changed 4 years ago by jdemeyer

Never remove doctests, mark them as # known bug.

comment:5 Changed 7 days ago by chapoton

  • Keywords abs_integrate added
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