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38. Solve the integral / x³ /x² – 1 dx three ways: (a) with the substitution u = x? –- 1, followed by back- substitution; (b) with integration by parts, choosing u = x² and dv = xVx² – 1 dx; (c) with the trigonometric subsitution x = sec u.

38. Solve the integral / x³ /x² – 1 dx three ways: (a) with the substitution u = x? –- 1, followed by back- substitution; (b) with integration by parts, choosing u = x² and dv = xVx² – 1 dx; (c) with the trigonometric subsitution x = sec u.

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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38. Solve the integral / x³ /x² – 1 dx three ways: (a) with the substitution u = x? –- 1, followed by back- substitution; (b) with integration by parts, choosing u = x² and dv = xVx² – 1 dx; (c) with the trigonometric subsitution x = sec u.
Transcribed Image Text:38. Solve the integral / x³ /x² – 1 dx three ways: (a) with the substitution u = x? –- 1, followed by back- substitution; (b) with integration by parts, choosing u = x² and dv = xVx² – 1 dx; (c) with the trigonometric subsitution x = sec u.
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