3. Partial Fractions (a) Use partial fraction decomposition to break down the following rational functions into sums suitable for integration. Divide first, if necessary. 8 -4x+2 x³+x x²+3x+7 x²+x³ (b) Evaluate the integral (c) Evaluate the integral. ST² 5x x² - 3x + 2 x - 1 x³ + x² x³+2 x²-4x+3 1 x 2x²-x-6 dax dx

3. Partial Fractions (a) Use partial fraction decomposition to break down the following rational functions into sums suitable for integration. Divide first, if necessary. 8 -4x+2 x³+x x²+3x+7 x²+x³ (b) Evaluate the integral (c) Evaluate the integral. ST² 5x x² - 3x + 2 x - 1 x³ + x² x³+2 x²-4x+3 1 x 2x²-x-6 dax dx

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter10: Systems Of Equations And Inequalities

Section10.CR: Chapter Review

Problem 7CC

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Similar questions

(a) How do we express a rational function r as a partial faction decomposition? (a) Given the form of the partial fraction decomposition. (i) 2x(x5)(x1)2 (ii) 2x(x5)(x21) (iii) 3x+1x(x2+1)2
Can you explain how to verify a partial fraction decomposition graphically?
Can you explain why a partial fraction decomposition is unique? (Hint: Think about it as a system of equations.)
Decompose into partial fractions. 4x3+3x+x2+2x4+x2