AP Calculus BC Quiz
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INTEGRATION AND ACCUMULATION OF CHANGE
Question 1
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A rate is
r
(
x
)
=
x
2
+
4
x
+
7
x
+
2
r(x)=\dfrac{x^2+4x+7}{x+2}
r
(
x
)
=
x
+
2
x
2
+
4
x
+
7
. Find an antiderivative for
∫
r
(
x
)
d
x
\int r(x)\,dx
∫
r
(
x
)
d
x
.
A
1
2
x
2
+
2
x
+
3
ln
∣
x
+
2
∣
+
C
\tfrac12 x^2+2x+3\ln|x+2|+C
2
1
x
2
+
2
x
+
3
ln
∣
x
+
2∣
+
C
B
1
2
x
2
+
2
x
+
ln
∣
x
+
2
∣
+
C
\tfrac12 x^2+2x+\ln|x+2|+C
2
1
x
2
+
2
x
+
ln
∣
x
+
2∣
+
C
C
1
2
x
2
+
2
x
+
3
x
+
2
+
C
\tfrac12 x^2+2x+\dfrac{3}{x+2}+C
2
1
x
2
+
2
x
+
x
+
2
3
+
C
D
1
2
(
x
+
2
)
2
+
3
ln
∣
x
+
2
∣
+
C
\tfrac12 (x+2)^2+3\ln|x+2|+C
2
1
(
x
+
2
)
2
+
3
ln
∣
x
+
2∣
+
C
E
1
2
x
2
−
2
x
+
3
ln
∣
x
+
2
∣
+
C
\tfrac12 x^2-2x+3\ln|x+2|+C
2
1
x
2
−
2
x
+
3
ln
∣
x
+
2∣
+
C
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