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 2
(
)
px
q
x
a
+
−
=
2
A
B
(
)
x
a
x
a
+
−
−
3 2
(
) (
) (
)
px
qx
r
x
a
x
b
x
c
+
+
−
−
−
=
A
B
C
x
a
x
b
x
c
+
+
−
−
−
4