Answered: PROBLEM [ B1]: Evaluate the integral…

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PROBLEM [ B1]: Evaluate the integral using Partial Fraction Technique: dx (х — 2) (х — 7)? -

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.6: Partial Fractions

Problem 61E

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Question

PROBLEM [ B1]: Evaluate the integral using Partial Fraction Technique:
dx
I (a – 2) (x – 7)²
-
-

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The form of the partial fraction decomposition of a rational fraction is given below. ((10x^2)+4x+24)/((x+1)(x^2+4)) = (A/(x+1))+((Bx+C)/((x^2)+4)) A=_______ B=___________ C=___________ Now evaluate the indefinite integral. ∫((10x^2)+4x+24)/((x+1)((x^2)+4))dx= _________________ +C