Something is seriously wrong with simple integration in 4.1.2:

sage: a=sqrt((sin(t))^2 + (cos(t))^2)
sage: integrate(a, t, 0, 2*pi) # WRONG!
pi
sage: a.simplify_full().simplify_trig()
1
sage: integrate(a.simplify_full().simplify_trig(), t, 0, 2*pi)
2*pi

Any idea what is going on?

Thanks,

Jason


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