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Mathematics
Mathematics
Problem
Define the rational function
f
(
x
)
=
2
x
+
3
(
x
−
1
)
(
x
+
2
)
f(x)=\dfrac{2x+3}{(x-1)(x+2)}
f
(
x
)
=
(
x
−
1
)
(
x
+
2
)
2
x
+
3
.\ Let
L
=
∫
2
4
f
(
x
)
d
x
L=\displaystyle \int_{2}^{4} f(x)\,dx
L
=
∫
2
4
f
(
x
)
d
x
. a. Part 1: Find an antiderivative
F
(
x
)
F(x)
F
(
x
)
of
f
(
x
)
f(x)
f
(
x
)
. b. Part 2: Use
F
(
x
)
F(x)
F
(
x
)
to determine the exact value of
L
L
L
.
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