q14 Question 014: Complete the following question involving Partial FractionsGiven the following integral and the pattern it breaks apart in-4x2 + 21x + 10B+X + 10dx =+dxx3 + 10x2x²Determine the value for A, B, and C.O A = 2, B = 1, C = -6A = 0, B = 4, C = -8A = -3, B = 1, C = -1O A = 2, B = 0, C = -4

Answered: -4x2 + 21x + 10 - dx = J C x3 + 10x2 x…

Math

Calculus

-4x2 + 21x + 10 - dx = J C x3 + 10x2 x + 10

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.1: Equations

Problem 75E

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Step 1

To find the value of A,B,C can be found by comparing by the decomposed fraction which gives $\frac{- 4 x^{2} + 21 x + 10}{x^{3} + 10 x^{2}} = \frac{A}{x} + \frac{B}{x^{2}} + \frac{C}{x + 10}$ .The LCM of the denominator is $x^{2} . (x + 10)$ .And then compare the numerators to find the values of unknowns.

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