How do you integrate `int [(2x^2+2x-1 dx)/(x^3(x-3))]` using partial fractions?

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` ?