integrals.wolfram.com   Use one of Mathematica's 2500+ functions FREE online

Wolfram Mathematica Online Integrator
The world's only full-power integration solver
∫

(d^x*(-(Cos[x]*(x - 2*Log[d] + x*Log[d]^2)) + (1 + x*Log[d] - Log[d]^2 + x*Log[d]^3)*Sin[x]))/(1 + Log[d]^2)^2


Integrate[d^x*x*Sin[x], x] ==
(d^x*(-(Cos[x]*(x - 2*Log[d] + x*Log[d]^2)) + (1 + x*Log[d] - Log[d]^2 + x*Log[d]^3)*Sin[x]))/ (1 + Log[d]^2)^2



           x
Integrate[d  x Sin[x], x] == 

  x                                   2
(d  (-(Cos[x] (x - 2 Log[d] + x Log[d] )) + 
 
                            2           3
      (1 + x Log[d] - Log[d]  + x Log[d] ) Sin[x])) / 
 
             2 2
  (1 + Log[d] )

Time to compute: 0.10 second

Spread the word: