Area under a Curve
The area between
the graph of y = f(x)
and the x-axis is given by the definite
integral below. This formula gives a positive result
for a graph above the x-axis, and a
negative result for
a graph below the x-axis.
Note: If the graph
of y = f(x) is
partly above and partly below the x-axis, the formula
given below generates the net area. That is, the area above
the axis minus the area
below the axis.
Find the area between y = 7 – x2 and
between the values x = –1 and x =
Find the net area between y = sin x and
the x-axis between the values x = 0
and x = 2π.
between curves, area using
parametric equations, area
using polar coordinates