Integrate xsin2x
Integrate by parts: integral = [uv] - ∫u'v dx (u'= derivative of u, v'= derivative of v)
u= x u'= 1
v' = sin2x v= -0.5cos2x
= -0.5xcosx - ∫-0.5cos2x dx
= -0.5xcosx + 0.25sin2x + c
JE
Integrate by parts: integral = [uv] - ∫u'v dx (u'= derivative of u, v'= derivative of v)
u= x u'= 1
v' = sin2x v= -0.5cos2x
= -0.5xcosx - ∫-0.5cos2x dx
= -0.5xcosx + 0.25sin2x + c
