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(x^2*Log[E^(c*Sin[2])]^Sin[1])/2

Integrate[x*Log[E^(c*Sin[2])]^Sin[1], x] ==
(x^2*Log[E^(c*Sin[2])]^Sin[1])/2 

                 c Sin[2] Sin[1]
Integrate[x Log[E        ]      , x] == 

 2      c Sin[2] Sin[1]
x  Log[E        ]
-----------------------
           2
Time to compute: < 0.01 second
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