Exam 7: Techniques of Integration
Exam 1: Functions and Models160 Questions
Exam 2: Limits and Derivatives160 Questions
Exam 3: Differentiation Rules160 Questions
Exam 4: Applications of Differentiation159 Questions
Exam 5: Integrals160 Questions
Exam 6: Applications of Integration160 Questions
Exam 7: Techniques of Integration160 Questions
Exam 8: Further Applications of Integration160 Questions
Exam 9: Differential Equations160 Questions
Exam 10: Parametric Equations and Polar Coordinates160 Questions
Exam 11: Infinite Sequences and Series160 Questions
Exam 12: Vectors and the Geometry of Space159 Questions
Exam 13: Vector Functions160 Questions
Exam 14: Partial Derivatives158 Questions
Exam 15: Multiple Integrals160 Questions
Exam 16: Vector Calculus160 Questions
Exam 17: Second-Order Differential Equations160 Questions
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Select the correct Answer for each question.
-Evaluate the integral. 

(Multiple Choice)
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Use the Table of Integrals to evaluate the integral to three decimal places. 

(Essay)
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Select the correct Answer for each question.
-Use long division to evaluate the integral.
The choices are rounded to 3 decimal places.

(Multiple Choice)
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A body moves along a coordinate line in such a way that its velocity at any time
, where
is given by
Find its position function if it is initially located at the origin.



(Essay)
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Select the correct Answer for each question.
-Determine whether the improper integral converges or diverges, and if it converges, find its value. 

(Multiple Choice)
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The region under the curve
is rotated about the x-axis.Find the volume of the resulting solid.

(Essay)
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Select the correct Answer for each question.
-Evaluate the integral. 

(Multiple Choice)
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The region under the curve
is rotated about the x-axis.Find the volume of the resulting solid.Select the correct Answer

(Multiple Choice)
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Find the volume of the resulting solid if the region under the curve
from
to
is rotated about the x-axis.Round yourAnswer to four decimal places.



(Essay)
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Select the correct Answer for each question.
-The region
is represented below.Find the area of this region to two decimal places. 


(Multiple Choice)
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Determine whether the improper integral converges or diverges, and if it converges, find its value. 

(Essay)
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