Integration: indefinite integral of (2x-3)/(x^3)

[dialalpha]

indefinite integral of (2x-3)/(x^3). I've tried u-substitution of (2x-3), but I get stuck pretty quick. Any pointers?

 

[daon]

Re: Integration

Break it into:

\(\displaystyle 2\int \frac{x}{x^3}dx \,\,- \,\, 3\int \frac{1}{x^3}\)

\(\displaystyle = 2\left( \int x^{-2}dx\right) - 3\left(\int x^{-3}dx\right)\)

 

[dialalpha]

Re: Integration

AH!, thank you, thank you.