If f (x) = 
0
x tsin
t dt
∫
, then f′(x) is
(A) cosx + x sin x
(B) x sinx
(C) x cosx
(D) sinx + x cosx
INTEGRALS         341
7 10  Some Properties of Definite Integrals
We list below some important properties of definite integrals These will be useful in
evaluating the definite integrals more easily P0 :
( )
( )
b
b
a
a
f x dx
f t dt
=
∫
∫
P1 :
( )
–
( )
b
a
a
b
f x dx
f x dx
=
∫
∫