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Troubles with Integrate

If I try to do following calculation Mathematica can't evaluate 
 psi:= (-Pi^(-1))*((Sin[Pi*((t - 5/4)/3)]/(t - 5/4))*Cos[Pi*(t - 5/4)] +
      (Sin[Pi*(t + 1/4)]/(t + 1/4))*Cos[Pi*(t + 1/4)]) +
    (1/Pi)*((Sin[2*Pi*((t - 7/8)/3)]/(t - 7/8))*Sin[2*Pi*(t - 7/8)] -
      (Sin[2*Pi*((t - 1/8)/3)]/(t - 1/8))*Sin[2*Pi*(t - 1/8)]);
 Integrate[psi*psi, t]
 Integrate[psi*psi, {t, -inf, +inf}]
 If I try to interrupt calculation, Mathematica sometimes says
 'Mathematica has detected a possible internal error. If possible, report 
 the error to
 support at, quoting "Assertion 'interruptMenuType != 0' failed at
 KernelPackets.c:726", and describe in as much detail as possible what 
 you were
 doing when the error occurred.'
 Note also that Integrate[psi, {t, -inf, +inf}] in Mathematica 
 evaluates as 0
 but Mathematica give value -1/2

Roman V. Kiseliov
Kursk State University
Theor. Phys. Dept.

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