10/10/2016
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HW7 (9728822)
Due:
Fri Oct 14 2016 08:00 AM EDT
Question
1.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
Question Details
RogaCalcET3 7.1.004. [3277950]
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Evaluate the integral using the Integration by Parts formula with the given choice of u and dv. (Use C for the constant of
integration.)
x cos(5x) dx; u = x, dv = cos(5x) dx
2.
Question Details
RogaCalcET3 7.1.006. [3277923]
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Evaluate the integral using the Integration by Parts formula with the given choice of u and dv. (Use C for the constant of
integration.)
tan−1(6x) dx; u = tan−1(6x), dv = dx
3.
Question Details
RogaCalcET3 7.1.007­034a.XP.Tutorial. [3342095]
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RogaCalcET3 7.1.007­034c.XP.Tutorial. [3341996]
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Evaluate the definite integral.
4
ln x
x
1
dx
4.
Question Details
Evaluate the following integral.
8 sin(ln x) dx
+ C
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Question Details
RogaCalcET3 7.1.009. [3296272]
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RogaCalcET3 7.1.013. [3296240]
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RogaCalcET3 7.1.017. [3296274]
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RogaCalcET3 7.1.020. [3296251]
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RogaCalcET3 7.1.023. [3297376]
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Evaluate using Integration by Parts. (Use C for the constant of integration.)
xe7x + 3 dx
6.
Question Details
Evaluate the integral, using Integration by Parts. (Use C for the constant of integration.)
x2 sin(x) dx
7.
Question Details
Evaluate using Integration by Parts. (Use C for the constant of integration.)
e−2x sin(x) dx
8.
Question Details
Evaluate the integral, using Integration by Parts. (Use C for the constant of integration.)
ln(x)
x3
dx
9.
Question Details
Evaluate the integral using Integration by Parts. (Use C for the constant of integration.)
(ln(x))2 dx
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Question Details
RogaCalcET3 7.1.026. [3296254]
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RogaCalcET3 7.1.041. [3296281]
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Evaluate the integral using Integration by Parts. (Use C for the constant of integration.)
sin−1(7x) dx
11.
Question Details
Evaluate using Integration by Parts, substitution, or both if necessary. (Use C for the constant of integration.)
cos(3x) ln(sin(3x)) dx
12.
Question Details
RogaCalcET3 7.1.047. [3268539]
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RogaCalcET3 7.2.001. [3296773]
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Compute the definite integral.
5
xe3x dx
0
13.
Question Details
Use the method for odd powers to evaluate the integral. (Use C for the constant of integration.)
8 cos3(x) dx
14.
Question Details
RogaCalcET3 7.2.006. [3296781]
­
Use the method for odd powers to evaluate the integral. (Use C for the constant of integration.)
4 sin2(x) cos5(x) dx
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Question Details
RogaCalcET3 7.2.007. [3268315]
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RogaCalcET3 7.2.010. [3296839]
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RogaCalcET3 7.2.011. [3296814]
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Evaluate the integral.
3π/2
cos3(5x) dx
0
16.
Question Details
Evaluate the integral. (Use C for the constant of integration.)
3 cos2(θ) sin2(θ) dθ
17.
Question Details
Evaluate the integral using the reduction formulas for sine and cosine. (Use C for the constant of integration.)
5 sin4(x) cos2(x) dx
18.
Question Details
RogaCalcET3 7.2.015. [3296786]
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RogaCalcET3 7.2.016. [3296809]
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Evaluate the integral. (Use C for the constant of integration.)
8 tan3(x) sec(x) dx
19.
Question Details
Evaluate the integral. (Use C for the constant of integration. Remember to use absolute values where appropriate.)
8 tan2(x) sec(x) dx
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Question Details
RogaCalcET3 7.2.017. [3296834]
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RogaCalcET3 7.2.020. [3296821]
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Evaluate the integral. (Use C for the constant of integration.)
6 tan2(x) sec4(x) dx
21.
Question Details
Evaluate the integral using the reduction formulas as necessary. (Use C for the constant of integration. Remember to use
absolute values where appropriate.)
7 sec3(x) dx
22.
Question Details
RogaCalcET3 7.2.025. [3296796]
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RogaCalcET3 7.2.026. [3296815]
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RogaCalcET3 7.2.027. [3296789]
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Evaluate the integral. (Use C for the constant of integration.)
cos4(4x + 3) dx
23.
Question Details
Evaluate the integral. (Use C for the constant of integration.)
cos7(2x) dx
24.
Question Details
Evaluate the integral. (Use C for the constant of integration.)
cos3(5πθ) sin4(5πθ) dθ
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Question Details
RogaCalcET3 7.2.028. [3296805]
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Evaluate the integral. (Use C for the constant of integration.)
cos498(3y) sin3(3y) dy
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Name (AID): HW7 (9728822)
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