_Evaluation:

Substitute:

2x-1=u

Substitute:

u=sin(v)

∴sin^-1 (u)=v

∴du=cos(v)dv

We know that,

Undo Substitution:

v=sin^-1 (u)
sin(sin^-1 (u))=u

Undo Substitution:

u=2x-1