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An integrand with trigonometric functions in the numerator and denominator can often be converted to a rational function using the substitution u = tan (x/2) or, equivalently, x = 2 tan u. The follow- ing relations are used in making this change of variables. 2 du B: sin x = 1 - u C: cos x = 2u A: dx = 1 + u 1 + u 1 + u /3 sin 0 de. 1- sin 0 Evaluate

An integrand with trigonometric functions in the numerator and denominator can often be converted to a rational function using the substitution u = tan (x/2) or, equivalently, x = 2 tan u. The follow- ing relations are used in making this change of variables. 2 du B: sin x = 1 - u C: cos x = 2u A: dx = 1 + u 1 + u 1 + u /3 sin 0 de. 1- sin 0 Evaluate

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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An integrand with trigonometric functions in the numerator and denominator can often be converted to a rational function using the substitution u = tan (x/2) or, equivalently, x = 2 tan u. The follow- ing relations are used in making this change of variables. 2 du B: sin x = 1 - u C: cos x = 2u A: dx = 1 + u 1 + u 1 + u /3 sin 0 de. 1- sin 0 Evaluate
Transcribed Image Text:An integrand with trigonometric functions in the numerator and denominator can often be converted to a rational function using the substitution u = tan (x/2) or, equivalently, x = 2 tan u. The follow- ing relations are used in making this change of variables. 2 du B: sin x = 1 - u C: cos x = 2u A: dx = 1 + u 1 + u 1 + u /3 sin 0 de. 1- sin 0 Evaluate
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