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30 10 6X2+ 7x + 1 - dx Step 1 The integrand of 30 - dx is a rational function of the form f(x) =-

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30 10 6X2+ 7x + 1 - dx Step 1 The integrand of 30 - dx is a rational function of the form f(x) =- P(*) where P(x) = 30 and Q(x) = 6x2 + 7x + 1. Since the degree of the numerator P(x) is less than the degree of the denominator Q(x), we do not need to divide. However, we note Jo 6x2+ 7x + 1 Q (x ) that the denominator can be factored as follows. Q(x) = 6x2+ 7x + 1 = (6x + 1)

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