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Mathematics
Study Set
Calculus Early
Quiz 8: Integration Techniques
Path 4
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Question 41
Multiple Choice
Solve the problem. -Find the volume of the solid generated by revolving the region in the first quadrant bounded by the x-axis and the curve y = x cos x, 0
ā¤
\le
ā¤
x
ā¤
\le
ā¤
Ļ
\pi
Ļ
/2 about the y-axis.
Question 42
Multiple Choice
Use integration by parts to establish a reduction formula for the integral. -
Question 43
Multiple Choice
Use integration by parts to establish a reduction formula for the integral. -
Question 44
Multiple Choice
Use integration by parts to establish a reduction formula for the integral. -
Question 45
Multiple Choice
Use integration by parts to establish a reduction formula for the integral. -
Question 46
Multiple Choice
Use integration by parts to establish a reduction formula for the integral. -
Question 47
Multiple Choice
Use integration by parts to establish a reduction formula for the integral. -
, n
ā
\neq
ī
=
1
Question 48
Multiple Choice
Use integration by parts to establish a reduction formula for the integral. -
, n
ā
\neq
ī
=
1
Question 49
Multiple Choice
Use integration by parts to establish a reduction formula for the integral. -
, n
ā
\neq
ī
=
1
Question 50
Multiple Choice
Use integration by parts to establish a reduction formula for the integral. -
, n
ā
\neq
ī
=
1
Question 51
Multiple Choice
Use integration by parts to establish a reduction formula for the integral. -
Question 52
Multiple Choice
Evaluate the integral by using a substitution prior to integration by parts. -
Question 53
Multiple Choice
Evaluate the integral by using a substitution prior to integration by parts. -
Question 54
Multiple Choice
Evaluate the integral by using a substitution prior to integration by parts. -
Question 55
Multiple Choice
Solve the problem. -Find the area between y = (x - 2) e
x
and the x-axis from x = 2 to x = 6.
Question 56
Multiple Choice
Solve the problem. -The charge q (in coulombs) delivered by a current i (in amperes) is given by
where t is the time (in seconds) . A damped-out periodic wave form has current given by
Find a formula for the charge delivered over time t.
Question 57
Multiple Choice
Solve the problem. -The voltage v (in volts) induced in a tape head is given by
where t is the time (in seconds) . Find the average value of v over the interval from t = 0 to t = 4. Round to the nearest volt.
Question 58
Multiple Choice
Evaluate the integral. -
Question 59
Multiple Choice
Evaluate the integral. -
dx