
The area bounded by the curve y = f(x), the vertical
lines x = a, x = b, and the xaxis is
given by
A = 
ó^{b}
õ_{a} 
y dx 
= 
ó^{b}
õ_{a} 
f(x) dx. 

If the equation of the curve is given in parametric form x
= g(t), y = h(t), then
A = 
ó^{b}
õ_{a} 
y dx = 
ó^{v}
õ_{u} 
h(t)g'(t) dt 
where u and v are the values of t when x
= a and b respectively.

