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Mathematics
Mathematics
Problem
Consider the function
F
(
x
)
=
∫
ln
(
2
x
+
3
)
d
x
F(x) = \int \ln(2x+3)\,dx
F
(
x
)
=
∫
ln
(
2
x
+
3
)
d
x
. a. (i) Evaluate
F
(
x
)
F(x)
F
(
x
)
and write the result in its simplest form. b. (ii) Hence, determine the exact value of
F
(
2
)
−
F
(
0
)
F(2) - F(0)
F
(
2
)
−
F
(
0
)
. Simplify your answer.
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