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Mathematics
Mathematics
Problem
Define
G
(
x
)
=
∫
3
x
π
sin
t
d
t
G(x)=\displaystyle \int_{3x}^{\pi} \sin t\,dt
G
(
x
)
=
∫
3
x
π
sin
t
d
t
for all real
x
x
x
. Which of the following expressions equals
G
′
(
x
)
G'(x)
G
′
(
x
)
? a)
3
sin
(
3
x
)
3\sin(3x)
3
sin
(
3
x
)
b)
−
3
sin
(
3
x
)
-3\sin(3x)
−
3
sin
(
3
x
)
c)
3
cos
(
3
x
)
3\cos(3x)
3
cos
(
3
x
)
d)
−
sin
(
3
x
)
-\sin(3x)
−
sin
(
3
x
)
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