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Log[b + x]*Log[1 - (b + x)/(b - d)] + PolyLog[2, (b + x)/(b - d)]

Integrate[Log[b + x]/(d + x), x] ==
Log[b + x]*Log[1 - (b + x)/(b - d)] + PolyLog[2, (b + x)/(b - d)] 

          Log[b + x]
Integrate[----------, x] == 
            d + x

                   b + x               b + x
Log[b + x] Log[1 - -----] + PolyLog[2, -----]
                   b - d               b - d
Time to compute: 0.01 second
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