(%i1) load(fourie)$
(%i2) absint(abs(x^2-1),x,-1,1); (%o2) 0
The correct result is 4/3. The user documentation suggests that absint can integrate abs(sin(x)). But it gets this wrong too:
(%i4) absint(abs(sin(x)),x,0,2*%pi); (%o4) 0
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