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Mathematics
Mathematics
Problem
Let
f
f
f
be the function defined by
f
(
x
)
=
sin
x
f(x)=\sin x
f
(
x
)
=
sin
x
. Define
g
(
x
)
=
∫
0
x
f
(
t
)
d
t
g(x)=\displaystyle\int_{0}^{x} f(t)\,dt
g
(
x
)
=
∫
0
x
f
(
t
)
d
t
. Determine
g
′
(
x
)
g'(x)
g
′
(
x
)
.
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