How do you use partial fraction decomposition to decompose the fraction to integrate #(2-6x)/(((x-5)^3)((x^2)+9)(((2x^2)+5x+7)^2))#? Calculus Techniques of Integration Integral by Partial Fractions 1 Answer Sarmad C. Nov 13, 2015 # 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 # Answer link Related questions How do I find the partial fraction decomposition of #(2x)/((x+3)(3x+1))# ? How do I find the partial fraction decomposition of #(1)/(x^3+2x^2+x# ? How do I find the partial fraction decomposition of #(x^4+1)/(x^5+4x^3)# ? How do I find the partial fraction decomposition of #(x^4)/(x^4-1)# ? How do I find the partial fraction decomposition of #(t^4+t^2+1)/((t^2+1)(t^2+4)^2)# ? How do I find the integral #intt^2/(t+4)dt# ? How do I find the integral #int(x-9)/((x+5)(x-2))dx# ? How do I find the integral #int1/((w-4)(w+1))dw# ? How do I find the integral #intdx/(x^2(x-1)^2)# ? How do I find the integral #int(x^3+4)/(x^2+4)dx# ? See all questions in Integral by Partial Fractions Impact of this question 1642 views around the world You can reuse this answer Creative Commons License