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Mathematics
Mathematics
Problem
Consider
F
(
x
)
=
cos
x
+
∫
2
x
sin
(
5
t
)
d
t
F(x)=\cos x+\displaystyle\int_{2}^{x} \sin(5t)\,dt
F
(
x
)
=
cos
x
+
∫
2
x
sin
(
5
t
)
d
t
. The value of
F
′
(
π
2
)
F'\!\left(\dfrac{\pi}{2}\right)
F
′
(
2
π
)
is a)
1
1
1
b)
0
0
0
c)
2
2
2
d)
−
1
-1
−
1
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