Evaluate:
0∫∞(2+f(x))(1−f(x))x2dx
where, f(x)=xsinx.
The value of the integral can be expressed as caπb.
Given a and c are coprime, submit the value of a+b+c.
Details and Assumptions:
Following integrals may be helpful:
0∫∞(f(x))2dx=2π
0∫∞(f(x))3dx=83π
0∫∞(f(x))4dx=3π