# VC5.5

From Example Problems

Note thatsemi-circle is lying above the x-axis.

Thus,C consists of part say AB of the x-axis and the semi-circle BDA(say). Let R be the plane region bounded by C.Using Green's theorm, we have

= [Noting that for the region R,y varies from 0 to and x varies from -1 to 1].

= on integrating w.r.t.y

=

=