∫(xsinx+cosx)2x2dx
Which of the choices is equivalent to the indefinite integral above (ignoring arbitrary constant)?
A.I=xsinx−cosxsinx+xcosx
B.I=xsinx+cosxsinx−xcosx
C.I=xsinx+cosxxsecx−∫xsinx+cosxsecx(1+xtanx)dx
D.I=−xsinx+cosxxsecx+∫xsinx+cosxsecx(1+xtanx)dx
This was a question asked in IITJEE when the paper was subjective type. Please share if you like the problem.