I found the solution to the second integral. It turned out to be the Gaussian Integral!
Try using this page. Wolfram Mathematica Online Integrator
I ve done for you the first one. Doesnt seem to have any sense but maybe I made a typing mistake.
http://integrals.wolfram.com/index.jsp?expr=(x*sin(x))%2F(1+%2B+cos(x)^2)&rando m=false