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Mathematics
Mathematics
Problem
A function
y
=
F
(
x
)
y=F(x)
y
=
F
(
x
)
satisfies
d
y
d
x
=
1
x
2
+
4
\dfrac{dy}{dx}=\dfrac{1}{x^{2}+4}
d
x
d
y
=
x
2
+
4
1
and
F
(
π
)
=
0
F(\pi)=0
F
(
π
)
=
0
. Determine
F
(
x
)
F(x)
F
(
x
)
and then find
F
(
π
+
2
)
F(\pi+2)
F
(
π
+
2
)
. Express your answers exactly.
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