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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
x
cos
x
+
sin
x
f(x)=x\cos x+\sin x
f
(
x
)
=
x
cos
x
+
sin
x
. Which of the following functions is an antiderivative of
f
(
x
)
f(x)
f
(
x
)
? a)
x
cos
x
+
sin
x
x\cos x+\sin x
x
cos
x
+
sin
x
b)
−
x
cos
x
+
2
-x\cos x+2
−
x
cos
x
+
2
c)
x
sin
x
x\sin x
x
sin
x
d)
x
sin
x
+
2
cos
x
x\sin x+2\cos x
x
sin
x
+
2
cos
x
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