Use the substitution t = tan rπ/2 X to transform the integrand into a rational function of t and then evaluate the integral. 2 9 sin(2x) dx 2 + cos(x)

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.4: Ordered Integral Domains
Problem 5E: 5. Prove that the equation has no solution in an ordered integral domain.
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Hello, I am lost on where to begin with this problem. This problem is part of integrals by partial fraction decomposition.

Use the substitution t = tan
X
to transform the integrand into a rational function of t and then evaluate the integral.
2
μπ/2 9 sin (2x)
2 + cos(x)
/0
dx
Transcribed Image Text:Use the substitution t = tan X to transform the integrand into a rational function of t and then evaluate the integral. 2 μπ/2 9 sin (2x) 2 + cos(x) /0 dx
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I am not fully grasping the transformation from sinx to tanx and from cosx to tanx in step 2 of the solution.

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