3. In evaluating the integral ſ x²dx (x-1)²(x²+1)' you will decompose x²dx (x-1)²(x²+1) into simpler fractions. Let x² A Bx+C Dx+E + + (x-1)²(x²+1) x-1 x²-2x + 1 x²+1 Are the partial fractions, correct? If correct, finish solving the problem. If your answer is no, explain in your own words why you think the partial fraction decomposition is wrong and then evaluate the integral.
3. In evaluating the integral ſ x²dx (x-1)²(x²+1)' you will decompose x²dx (x-1)²(x²+1) into simpler fractions. Let x² A Bx+C Dx+E + + (x-1)²(x²+1) x-1 x²-2x + 1 x²+1 Are the partial fractions, correct? If correct, finish solving the problem. If your answer is no, explain in your own words why you think the partial fraction decomposition is wrong and then evaluate the integral.
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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Transcribed Image Text:3. In evaluating the integral S
x² dx
(x-1)²(x²+1)'
you will decompose
x² dx
(x-1)²(x²+1)
into simpler
fractions. Let
x²
A
Bx+C
Dx+E
=
+
+
(x-1)²(x²+1) x-1
x²-2x + 1 x²+1
Are the partial fractions, correct? If correct, finish solving the problem. If your answer
is no, explain in your own words why you think the partial fraction decomposition is
wrong and then evaluate the integral.
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