Exam 6: Techniques of Integration
Exam 1: Functions and Limits51 Questions
Exam 2: Derivatives50 Questions
Exam 3: Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions56 Questions
Exam 4: Applications of Differentiation29 Questions
Exam 5: Integrals41 Questions
Exam 6: Techniques of Integration43 Questions
Exam 7: Applications of Integration61 Questions
Exam 8: Series50 Questions
Exam 9: Parametric Equations and Polar Coordinates30 Questions
Exam 10: Ectors and the Geometry of Space68 Questions
Exam 11: Partial Derivatives71 Questions
Exam 12: Multiple Integrals54 Questions
Exam 13: Vector Calculus56 Questions
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Evaluate the integral using the indicated trigonometric substitution. 

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

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Use the Table of Integrals to evaluate the integral to three decimal places. 

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Household electricity is supplied in the form of alternating current that varies from 170 V to -170 V with a frequency of 60 cycles per second (Hz).The voltage is thus given by the function E(t),where t is the time in seconds.Voltmeters read the RMS (root-mean-square)voltage,which is the square root of the average value of
over one cycle.Calculate the RMS voltage of household current.Round your answer to the nearest integer. 


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Make a substitution to express the integrand as a rational function and then evaluate the integral.
Round the answer to four decimal places.

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Evaluate the integral using integration by parts with the indicated choices of u and dv. 

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