If degree of the
polynomial P (x) is greater than the degree of the polynomial Q (x), then we
may divide P (x) by Q (x) so that 
1P ( )
P( )
T ( )
Q( )
Q( )
x
x
x
x
x
=
+
, where T(x) is a
polynomial in x and degree of P1(x) is less than the degree of Q(x) T(x)
being polynomial can be easily integrated 1P ( )
Q( )
x
x  can be integrated by
356
MATHEMATICS
expressing 
1P ( )
Q( )
x
x  as the sum of partial fractions of the following type:
1 (
) (
)
px
q
x
a
x
b
+
−
−
=
A
B
x
a
x
b
+
−
−
, a ≠ b
2