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(d^x*(Cos[x]*Log[d] + Sin[x]))/(1 + Log[d]^2)

Integrate[d^x*Cos[x], x] ==
(d^x*(Cos[x]*Log[d] + Sin[x]))/(1 + Log[d]^2) 

           x
Integrate[d  Cos[x], x] == 

 x
d  (Cos[x] Log[d] + Sin[x])
---------------------------
                  2
        1 + Log[d]
Time to compute: 0.03 second
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