2/25/2014
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HW 6.1 (5466664)
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Description
Also do the Following problems as a HW related to this section. Spring 2013: 2(a),(d);
Fall 2012: 2(d); Spring 2011: 3(a), (b); Fall 2010: 2(a); Spring 2009: 2(d)
1.
Question Details
SEssC alc2 6.1.001. [2560394]
-
Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for the constant of
integration.)
2x2 ln x dx;
u = ln x, dv = 2x2 dx
Solution or Explanation
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2.
Question Details
SEssC alc2 6.1.002. [2560006]
-
Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for the constant of
integration.)
6θ cos θ dθ;
u = 6θ, dv = cos θ dθ
Solution or Explanation
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3.
Question Details
SEssC alc2 6.1.005. [2560274]
-
Evaluate the integral. (Use C for the constant of integration.)
te−10t dt
Solution or Explanation
Let u = t, dv = e−10t dt
du = dt, v = −
1 −10t
e
.
10
Then by the equation,
te−10t dt = −
1
te−10t −
10
−
1 −10t
e
dt = − 1 te−10t + 1
10
10
10
e−10t dt = −
1
1 −10t
te−10t −
e
+ C.
10
100
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4.
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Question Details
SEssC alc2 6.1.009. [2377613]
-
SEssC alc2 6.1.011.MI. [2560490]
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SEssC alc2 6.1.013.MI. [2560273]
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SEssC alc2 6.1.012. [2560368]
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Evaluate the integral.
ln(4x + 1) dx
+C
Solution or Explanation
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5.
Question Details
Evaluate the integral. (Use C for the constant of integration.)
arctan 2t dt
Solution or Explanation
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6.
Question Details
Evaluate the integral. (Use C for the constant of integration.)
e2θ sin 3θ dθ
Solution or Explanation
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7.
Question Details
Evaluate the integral. (Use C for the constant of integration.)
sin−1 x dx
Solution or Explanation
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8.
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Question Details
SEssC alc2 6.1.018. [2166039]
-
SEssC alc2 6.1.020. [2165220]
-
SEssC alc2 6.1.022. [2165367]
-
Evaluate the integral.
1
0
(x2 + 2)e−x dx
Solution or Explanation
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9.
Question Details
Evaluate the integral.
9 ln y
y
4
dy
Solution or Explanation
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10.
Question Details
Evaluate the integral.
3
9 arctan
1
1
x
dx
Solution or Explanation
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Assignment Details
Name (AID): HW 6.1 (5466664)
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