How do you use partial fraction decomposition to decompose the fraction to integrate $\frac{2 - 6 x}{({(x - 5)}^{3}) ((x^{2}) + 9) ({((2 x^{2}) + 5 x + 7)}^{2})}$ $(2-6x)/(((x-5)^3)((x^2)+9)(((2x^2)+5x+7)^2))$ ?

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How do you use partial fraction decomposition to decompose the fraction to integrate $\frac{2 - 6 x}{({(x - 5)}^{3}) ((x^{2}) + 9) ({((2 x^{2}) + 5 x + 7)}^{2})}$ $(2-6x)/(((x-5)^3)((x^2)+9)(((2x^2)+5x+7)^2))$ ?

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Answer 1 · 2015-11-13T11:01:59

$\frac{A}{x - 3} + \frac{B}{{(x - 3)}^{2}} + \frac{C}{{(x - 3)}^{3}} + \frac{D x + E}{x^{2} + 9} + \frac{F x + G}{2 x^{2} + 5 x + 7} + \frac{H x + I}{{(2 x^{2} + 5 x + 7)}^{2}}$ $A/(x-3) + B/(x-3)^2 + C/ (x-3)^3 + (Dx+E)/(x^2 + 9) + (Fx +G)/(2x^2 + 5x + 7) + (Hx +I)/(2x^2 + 5x + 7)^2$

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How do you use partial fraction decomposition to decompose the fraction to integrate $\frac{2 - 6 x}{({(x - 5)}^{3}) ((x^{2}) + 9) ({((2 x^{2}) + 5 x + 7)}^{2})}$ $(2-6x)/(((x-5)^3)((x^2)+9)(((2x^2)+5x+7)^2))$ ?

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How do you use partial fraction decomposition to decompose the fraction to integrate $\frac{2 - 6 x}{({(x - 5)}^{3}) ((x^{2}) + 9) ({((2 x^{2}) + 5 x + 7)}^{2})}$ $(2-6x)/(((x-5)^3)((x^2)+9)(((2x^2)+5x+7)^2))$ ?