Explain why each of the following integrals is improper. 9. (a) dx Is (x - 6)6 Since y= has a vertical asymptote at x=6, the integral is improper. (x – 6)6 Since y=- has a vertical asymptote at x=5, the integral is improper. (x – 6)6 Since the integral has an infinite interval of integration, the integral is improper. The integral is not improper. 8. (b) 7In(x) dx The integral is not improper. Since the integral has an infinite interval of integration, the integral is improper. Since y=In(x) has a vertical asymptote at x=1, the integral is improper. Since y=In(x) has a vertical asymptote at x=0, the integral is improper. T/4 (c) sec(x) dx Since y=sec(x) has a vertical asymptote at x=-4, the integral is improper. Since the integral has an infinite interval of integration, the integral is improper. The integral is not improper. Since y=sec(x) has a vertical asymptote at x=0, the integral is improper.

Explain why each of the following integrals is improper. 9. (a) dx Is (x - 6)6 Since y= has a vertical asymptote at x=6, the integral is improper. (x – 6)6 Since y=- has a vertical asymptote at x=5, the integral is improper. (x – 6)6 Since the integral has an infinite interval of integration, the integral is improper. The integral is not improper. 8. (b) 7In(x) dx The integral is not improper. Since the integral has an infinite interval of integration, the integral is improper. Since y=In(x) has a vertical asymptote at x=1, the integral is improper. Since y=In(x) has a vertical asymptote at x=0, the integral is improper. T/4 (c) sec(x) dx Since y=sec(x) has a vertical asymptote at x=-4, the integral is improper. Since the integral has an infinite interval of integration, the integral is improper. The integral is not improper. Since y=sec(x) has a vertical asymptote at x=0, the integral is improper.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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