   Chapter 7.4, Problem 69E

Chapter
Section
Textbook Problem

# a) Use a computer algebra system to find the partial fraction decomposition of the function f ( x ) = 4 x 3 − 27 x 2 + 5 x − 32 30 x 5 − 13 x 4 + 50 x 3 − 286 x 2 − 299 x − 70 (b) Use part (a) to find ∫ f ( x ) d x (by hand) and compare with the result of using the CAS to integrate f directly. Comment on any discrepancy.

To determine

a) To find: Partial fraction decomposition of the function f(x)=4x327x2+5x3230x513x4+50x3286x2299x70

Explanation

Calculation: Using a computer algebra system we get the following partial fraction decomposition

f(x)=4x327x2+5x3230x513x4+50x3286x2299x70

=

To determine

b) To find: Integrate the partial fractions from part (a)

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