Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
10. If
f
(
x
)
=
∫
0
x
t
sin
t
d
t
f(x)=\int_{0}^{x} t \sin t d t
f
(
x
)
=
∫
0
x
t
sin
t
d
t
, then
f
′
(
x
)
f^{\prime}(x)
f
′
(
x
)
is (A)
cos
x
+
x
sin
x
\cos x+x \sin x
cos
x
+
x
sin
x
(B)
x
sin
x
x \sin x
x
sin
x
(C)
x
cos
x
x \cos x
x
cos
x
(D)
sin
x
+
x
cos
x
\sin x+x \cos x
sin
x
+
x
cos
x
(A)
cos
x
+
x
sin
x
\cos x+x \sin x
cos
x
+
x
sin
x
(B)
x
sin
x
x \sin x
x
sin
x
(C)
x
cos
x
x \cos x
x
cos
x
(D)
sin
x
+
x
cos
x
\sin x+x \cos x
sin
x
+
x
cos
x
Browse the problem library