,kn are real
numbers Then
1
1
2
2
[
( )
( ) ( )]
n
n
k f
x
k f
x
k f
x
dx
+
+
+
∫
= 
1
1
2
2
( )
( ) ( )
n
n
k
f
x dx
k
f
x dx
k
f
x dx
+
+
+
∫
∫
∫
INTEGRALS         355
� Some standard integrals
(i)
1
C
1
n
n
x
x dx
n
+
=
+
+
∫
, n ≠ – 1