^4x3 + 6x² + 75x + 75dxConsider the indefinite integralx4 + 25x2Then the integrand has partial fractions decompositionacx + dx2x2 + 25wherea =bC =d =Integrating term by term, we obtain thatr4x³ + 6x² + 75x + 75x4 + 25x?+C

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Answered: 4x3 + 6x2 + 75x + 75 Consider the…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter5: Systems Of Equations And Inequalities

Section5.3: Partial Fractions

Problem 10E

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4x3 + 6x2 + 75x + 75 Consider the indefinite integral x4 + 25x2 Then the integrand has partial fractions decomposition cx + d + x2 + 25 a x2 where a = b = C = d = Integrating term by term, we obtain that [4ӕ3 + 62? + 75х + 75 dx = x4 + 25x2 +C