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2) Evaluate: x* cos(x 5) dx. (A) 1/4 sin(x 5) + C (B) 1/5 sin(x 5) + C (C) sin(x 5) + C (D) 1/5 cos(x 5) + C (E) 1/5 sin(U) + C

2) Evaluate: x* cos(x 5) dx. (A) 1/4 sin(x 5) + C (B) 1/5 sin(x 5) + C (C) sin(x 5) + C (D) 1/5 cos(x 5) + C (E) 1/5 sin(U) + C

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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8:53 2) Evaluate: x* cos(x 5) dx. 9 (d) f 2 √u cos u du (A) 1/4 sin(x 5) + C (B) 1/5 sin(x 5) + C (C) sin(x 5) + C (D) 1/5 cos(x 5) + C (E) 1/5 sin(U) + C √√3 (e) 2-√u cos u du 4) 1 3) If you were asked to evaluate the integral f x²e x dx, a good first step would be: I. U-substitution, with U = ex and dU = ex dx. II. U-substitution, with U = x² and dU = 2x dx. III. Integration by parts, with u = x² and dv = ex dx. \ A. only I. is a good first step. Part B: B. only II. is a good first step. C. only III. is a good first step. D. only I. and III. are good first steps. E. only II. and III. are good first step 1 1) √ 3x+6dx 0 3) 5/(5x + 1)² dx .LTE 62 2) 24x − 3 (12x² - 3x)³ dx 3 4) Se-5x dx 0
Transcribed Image Text:8:53 2) Evaluate: x* cos(x 5) dx. 9 (d) f 2 √u cos u du (A) 1/4 sin(x 5) + C (B) 1/5 sin(x 5) + C (C) sin(x 5) + C (D) 1/5 cos(x 5) + C (E) 1/5 sin(U) + C √√3 (e) 2-√u cos u du 4) 1 3) If you were asked to evaluate the integral f x²e x dx, a good first step would be: I. U-substitution, with U = ex and dU = ex dx. II. U-substitution, with U = x² and dU = 2x dx. III. Integration by parts, with u = x² and dv = ex dx. \ A. only I. is a good first step. Part B: B. only II. is a good first step. C. only III. is a good first step. D. only I. and III. are good first steps. E. only II. and III. are good first step 1 1) √ 3x+6dx 0 3) 5/(5x + 1)² dx .LTE 62 2) 24x − 3 (12x² - 3x)³ dx 3 4) Se-5x dx 0
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