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Express the integrand as a sum of partial fractions and evaluate the integral. (Hint: factor the denominator. Watch out: sometimes there are two terms in the numerator and S da = tan-1 4) a² +a? 5x2 + x+ 36 dx x + 9%

Express the integrand as a sum of partial fractions and evaluate the integral. (Hint: factor the denominator. Watch out: sometimes there are two terms in the numerator and S da = tan-1 4) a² +a? 5x2 + x+ 36 dx x + 9%

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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Question
Express the integrand as a sum of partial fractions and evaluate the integral. (Hint: factor the denominator. Watch out: sometimes there are two terms in the numerator and -dx = tan-1 2) 5x2 +x+ 36 dx x + 9x 4 In Ix| + In|x2.9| + sin1 + C O 4 In Ixl + Inlx2 + 9| + tan1 + C O 4 In Ix| - In | x2 + 9 | - tan1 x + C O In Ix| + Inl x2 + 9 | + tan1 + C
Transcribed Image Text:Express the integrand as a sum of partial fractions and evaluate the integral. (Hint: factor the denominator. Watch out: sometimes there are two terms in the numerator and -dx = tan-1 2) 5x2 +x+ 36 dx x + 9x 4 In Ix| + In|x2.9| + sin1 + C O 4 In Ixl + Inlx2 + 9| + tan1 + C O 4 In Ix| - In | x2 + 9 | - tan1 x + C O In Ix| + Inl x2 + 9 | + tan1 + C
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