If f (a + b – x) = f (x), then 
( )
b
∫a x f x dx
 is equal to
(A)
(
)
2
b
a
a
b
f b
x dx
+
−
∫
(B)
(
)
2
b
a
a
b
f b
x dx
+
+
∫
(C)
( )
2
b
a
b
a
− ∫f x dx
(D)
( )
2
b
a
a
b
f x dx
+ ∫
44 The value of 
1
1
2
0
2
1
tan
1
x
dx
x
x
−
−




+
−


∫
 is
(A) 1
(B) 0
(C) –1
(D)
4
π
Summary
� Integration is the inverse process of differentiation In the differential calculus,
we are given a function and we have to find the derivative or differential of
this function, but in the integral calculus, we are to find a function whose
differential is given Thus, integration is a process which is the inverse of
differentiation