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

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

An image showing the results of your requested integral.


Integrate[d^x*x^2*Sin[x], x] ==
(d^x*(-(Cos[x]*(-2 + x^2 - 4*x*Log[d] + 2*(3 + x^2)*Log[d]^2 - 4*x*Log[d]^3 + x^2*Log[d]^4)) + (2*x + (-6 + x^2)*Log[d] + 2*(1 + x^2)*Log[d]^3 - 2*x*Log[d]^4 + x^2*Log[d]^5)*Sin[x]))/(1 + Log[d]^2)^3



           x  2
Integrate[d  x  Sin[x], x] == 

  x                  2
(d  (-(Cos[x] (-2 + x  - 4 x Log[d] + 
 
                   2        2             3
           2 (3 + x ) Log[d]  - 4 x Log[d]  + 
 
            2       4
           x  Log[d] )) + 
 
                    2                   2        3
      (2 x + (-6 + x ) Log[d] + 2 (1 + x ) Log[d]  - 
 
                   4    2       5
         2 x Log[d]  + x  Log[d] ) Sin[x])) / 
 
             2 3
  (1 + Log[d] )

Time to compute: 0.19 second

Spread the word: