between
the values
and
calculates
the area under the graph between the valuesand
This
is written
where
and
are
the limits of integration and
is
the integral of
The
larger value of
is
the upper limitand
the smaller value ofis
the lower limit
A Level Maths Notes: C3 – Definite Integrals
The definite integral
ofbetween
the valuesandcalculates
the area under the graph between the valuesandThis
is writtenwhere
andare
the limits of integration andis
the integral ofThe
larger value ofis
the upper limitand
the smaller value ofis
the lower limit
Example: Find the area under
the curve
between
and
To evaluate this integral we
use the identity
rearranging
it to give
