Bug introduced in 8.0 or earlier and fixed in 11.0


tointegrate = D[V[y1[t], y2[t]], y2[t]] D[V[y1[t], y2[t]], {y1[t], 2}]

and try to find its indefinite integral

Integrate[tointegrate, t]

MathKernel crashes with no messages after a few second. Other simple indefinite integral problems do yield fine non-coredumping results.

Tested with Mathematica Version

  • "10.2.0 for Linux x86 (64-bit) (July 28, 2015)"
  • "8.0 for Linux x86 (64-bit) (October 10, 2011)"

Do you observe the same behaviour in other versions? Any idea of why gets Mathematica going up the spout on this?


  • $\begingroup$ Confirmed in 8.0.4 and 9.0.1 on Windows. $\endgroup$ – Oleksandr R. Sep 24 '15 at 8:29
  • $\begingroup$ Confirmed in 10.0.2 and 8.0.1 on OSX 10.10.5. $\endgroup$ – march Sep 24 '15 at 16:56
  • 4
    $\begingroup$ Wolfram technical support confirms this is a bug, and should be working on it. $\endgroup$ – Vivien Sep 30 '15 at 5:24

On v11, on mac os:

In[4]:= tointegrate = D[V[y1[t], y2[t]], y2[t]] D[V[y1[t], y2[t]], {y1[t], 2}]
Out[4]= Derivative[0, 1][V][y1[t], y2[t]]*Derivative[2, 0][V][y1[t], y2[t]]

In[5]:= Integrate[tointegrate, t]
 Integrate[Derivative[0, 1][V][y1[t], y2[t]]*Derivative[2, 0][V][y1[t], y2[t]], t]

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