(
1) (
2)
x dx
x
x
−
−
∫
 equals
(A)
2
(
1)
log
C
2
xx
−
+
−
(B)
2
(
2)
log
C
1
x
x
−
+
−
(C)
12
log
C
2
xx
−


+


−


(D) log (
1) (
2)
C
x
x
−
−
+
23 (2
1)
dx
∫x x +
equals
(A)
2
1
log
log (
+1) + C
2
x
x
−
(B)
2
1
log
log (
+1) + C
2
x
x
+
(C)
2
1
log
log (
+1) +C
2
x
x
−
+
(D)
2
1log
log (
+1) + C
2
x
x
+
7 6  Integration by Parts
In this section, we describe one more method of integration, that is found quite useful in
integrating products of functions If u and v are any two differentiable functions of a single variable x (say)