a. Use a CAS to evaluate where n is an arbitrary positive integer. Does your CAS find

Question:

a. Use a CAS to evaluate

where n is an arbitrary positive integer. Does your CAS find the result?

b. In succession, find the integral when n = 1, 2, 3, 5, and 7. Comment on the complexity of the results.

c. Now substitute x = (π/2) - u and add the new and old integrals. What is the value of

This exercise illustrates how a little mathematical ingenuity solves a problem not immediately amenable to solution by a CAS.

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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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Question Posted: Apr 30, 2023 07:13 AM

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a. Use a CAS to evaluate where n is an arbitrary positive integer. Does your CAS find

Question:

0 π/2 sin" x sin" x + cos" x dx

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ANSWER a Using a CAS we can evaluate the integral as follows integrate sinn xsinn x cosn x dx from 0 to pi 2 Lets substitute sinx t then cosx dx dt sq...View the full answer

Thomas Calculus Early Transcendentals

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