INTEGRALS         311
(10) For the evaluation of the integral of the type 
2
(
)
px
q dx
ax
bx
c
+
+
+
∫
, we proceed
as in (9) and transform the integral into known standard forms Let us illustrate the above methods by some examples Example 8 Find the following integrals:
(i)
2
16
dx
∫x −
(ii)
2
2
dx
x
−x
∫
Solution
(i)
We have 
2
2
2
16
4
dx
dx
x
x –
=
−
∫
∫
 = 
4
log
C
8
xx –4
1
+
+
[by 7 4 (1)]
(ii)
(
)
2
2
2
1
1
=
−
∫
∫
dx
dx
x
x
– x –
Put x – 1 = t