Using integration by parts find ∫xsinx dx.
Apply integration by parts formula: ∫xsinx dx=−xcosx+sinx+C
Step 1 :Choose u = x and dv = sinx dx, then find du and v: du = dx, v = -cosx
Step 2 :Apply integration by parts formula: ∫xsinx dx=−xcosx+sinx+C