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Mathematics 8 Online
OpenStudy (anonymous):

Integration of rational functions by partial fractions

OpenStudy (anonymous):

OpenStudy (anonymous):

answers

OpenStudy (anonymous):

help

OpenStudy (anonymous):

ok ......do you firstly know the method of partial fractions........??????

OpenStudy (anonymous):

yes or no????

OpenStudy (anonymous):

????

OpenStudy (anonymous):

\[ \frac{8 x^5-23 x^4-186 x^3+349 x^2+1034 x-1014}{(x-5) (x-3) (x+3)^2}=\\8 x+\frac{2}{x-5}-\frac{4}{x- 3}-\frac{6}{x+3}+\frac{5}{( x+3)^2}-7 \]

OpenStudy (anonymous):

\[ \frac{9 x^3+25 x^2-159 x+265}{(x-4)^2 (x+7)^2}=\frac{6}{x+7}-\frac{4}{(x+7)^ 2}+\frac{3}{x-4}+\frac{5}{(x-4)^2} \]

OpenStudy (anonymous):

It is easy to now integrate both.

OpenStudy (anonymous):

i got stuck at finding A, B, C, and D.\[-8x^3-37x^2+80x-69 =A(x-5)(x+3)^2+B(x-3)(x+3)^2+C(x-3)(x-5)(x+3)+D(x-3)(x-5)\]

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