Consider the rational function 2x5 f(x) = 9x4 + 4x3 – 18x² – 28x + 12 2x3 x2 + 6x – 3 where 2x – x² + 6x – 3 = (2x – 1)(x² +3). - (a) Decompose f(x) into partial fractions. (b) Hence find the antiderivative of f(x). You may use the following standard antiderivative result, that we have not studied in the course: 1 1 (:). -1 dx = - tan a + 0. x² + a2 a (c) Find the exact value of | f(x) dx, simplifying your answer as much as possible.

Consider the rational function 2x5 f(x) = 9x4 + 4x3 – 18x² – 28x + 12 2x3 x2 + 6x – 3 where 2x – x² + 6x – 3 = (2x – 1)(x² +3). - (a) Decompose f(x) into partial fractions. (b) Hence find the antiderivative of f(x). You may use the following standard antiderivative result, that we have not studied in the course: 1 1 (:). -1 dx = - tan a + 0. x² + a2 a (c) Find the exact value of | f(x) dx, simplifying your answer as much as possible.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section: Chapter Questions

Problem 14T

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