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

Wolfram Mathematica Online Integrator
The world's only full-power integration solver
∫
(E^(a*x)*(a*Cos[b*x] + b*Sin[b*x]))/(a^2 + b^2)

Integrate[E^(a*x)*Cos[b*x], x] ==
(E^(a*x)*(a*Cos[b*x] + b*Sin[b*x]))/(a^2 + b^2) 

           a x
Integrate[E    Cos[b x], x] == 

 a x
E    (a Cos[b x] + b Sin[b x])
------------------------------
            2    2
           a  + b
Time to compute: 0.04 second
Spread the word: