( v) Area bounded by two curves y = F( x) and y = G( x) between x = a and x = b is given by
( vi) Area bounded by two curves x = f( y) and x = g( y) between y = c
and y = d is given by
( vii) If F( x) ≥. G( x) in [ a, c ] and F( x) ≤ G( x) in [ c, d ], where a < c < b, then area of the region bounded by the curves is given as
Area of Curves Given by Polar Equations
Let f( θ) be a continuous function, θ ∈( a, α), then the are t bounded by the curve r = f( θ) and radius α, β( α < β) is