AP Calculus BC Quiz
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INTEGRATION AND ACCUMULATION OF CHANGE
Question 1
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A model for volume uses
∫
2
x
+
1
(
x
2
+
x
+
3
)
d
x
\int \dfrac{2x+1}{(x^2+x+3)}\,dx
∫
(
x
2
+
x
+
3
)
2
x
+
1
d
x
; evaluate it.
A
ln
(
x
2
+
x
+
3
)
+
C
\ln\left(x^2+x+3\right)+C
ln
(
x
2
+
x
+
3
)
+
C
B
1
2
ln
(
x
2
+
x
+
3
)
+
C
\dfrac{1}{2}\ln\left(x^2+x+3\right)+C
2
1
ln
(
x
2
+
x
+
3
)
+
C
C
2
ln
(
x
2
+
x
+
3
)
+
C
2\ln\left(x^2+x+3\right)+C
2
ln
(
x
2
+
x
+
3
)
+
C
D
ln
∣
2
x
+
1
∣
+
C
\ln|2x+1|+C
ln
∣2
x
+
1∣
+
C
E
2
x
+
1
x
2
+
x
+
3
+
C
\dfrac{2x+1}{x^2+x+3}+C
x
2
+
x
+
3
2
x
+
1
+
C
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