Calculus 1 Quiz
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INTEGRATION: ACCUMULATION & FTC
Question 1
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Which of the following is the indefinite integral of
∫
x
(
x
+
1
)
5
d
x
\int x(x+1)^5 \,dx
∫
x
(
x
+
1
)
5
d
x
?
A
(
x
+
1
)
7
7
−
(
x
+
1
)
6
6
+
C
\frac{(x+1)^7}{7} - \frac{(x+1)^6}{6} + C
7
(
x
+
1
)
7
−
6
(
x
+
1
)
6
+
C
B
x
2
2
(
x
+
1
)
6
6
+
C
\frac{x^2}{2} \frac{(x+1)^6}{6} + C
2
x
2
6
(
x
+
1
)
6
+
C
C
x
(
x
+
1
)
6
6
+
C
\frac{x(x+1)^6}{6} + C
6
x
(
x
+
1
)
6
+
C
D
(
x
+
1
)
7
7
+
(
x
+
1
)
6
6
+
C
\frac{(x+1)^7}{7} + \frac{(x+1)^6}{6} + C
7
(
x
+
1
)
7
+
6
(
x
+
1
)
6
+
C
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