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E^(1 - t)*(1 - t)*x*Sin[t]

Integrate[E^(1 - t)*(1 - t)*Sin[t], x] ==
E^(1 - t)*(1 - t)*x*Sin[t] 

           1 - t
Integrate[E      (1 - t) Sin[t], x] == 

 1 - t
E      (1 - t) x Sin[t]
Time to compute: < 0.01 second
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