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Evaluate the integral. 6² tep 1 30 6x² + 7x + 1 [² The integrand of x6x² + dx 30 6x² + 7x + 1 x7 x + 1 = (x6 x + 1) numerator P(x) is less than the degree of the denominator Q(x), we do not need to divide. However, we note that the denominator can be factored as follows. Q(x) = dx is a rational function of the form f(x) = 7x+1 X P(x) - where P(x) = 30 and Q(x) = 6x² + 7x + 1. Since the degree of the Q(x) )

Evaluate the integral. 6² tep 1 30 6x² + 7x + 1 [² The integrand of x6x² + dx 30 6x² + 7x + 1 x7 x + 1 = (x6 x + 1) numerator P(x) is less than the degree of the denominator Q(x), we do not need to divide. However, we note that the denominator can be factored as follows. Q(x) = dx is a rational function of the form f(x) = 7x+1 X P(x) - where P(x) = 30 and Q(x) = 6x² + 7x + 1. Since the degree of the Q(x) )

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.2: Remainder And Factor Theorems
Problem 53PS
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Evaluate the integral. S Step 1 1 30 6x² + 7x + 1 The integrand of Q(x) : = 1 6² dx 30 6x² + 7x + 1 X 6 X² + x 7 x + 1 = (x 6 x + 1) dx is a rational function of the form f(x) numerator P(x) is less than the degree of the denominator Q(x), we do not need to divide. However, we note that the denominator can be factored as follows. 7x+1 P(x) Q(x) x) = 30 and Q(x) = 6x² + 7x + 1. Since the degree of the where P(x) =
Transcribed Image Text:Evaluate the integral. S Step 1 1 30 6x² + 7x + 1 The integrand of Q(x) : = 1 6² dx 30 6x² + 7x + 1 X 6 X² + x 7 x + 1 = (x 6 x + 1) dx is a rational function of the form f(x) numerator P(x) is less than the degree of the denominator Q(x), we do not need to divide. However, we note that the denominator can be factored as follows. 7x+1 P(x) Q(x) x) = 30 and Q(x) = 6x² + 7x + 1. Since the degree of the where P(x) =
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