Mathematics

Problem

\int \frac{1}{x^2}(2x+1)^3\,dx =

(a)

4x^2 + 12x + 6\log x - \frac{1}{x} + c

(b)

4x^2 + 12x - 6\log x - \frac{2}{x} + c

(c)

2x^2 + 8x + 3\log x - \frac{2}{x} + c

(d)

8x^2 + 6x + 6\log x + \frac{2}{x} + c

(a)

4x^2 + 12x + 6\log x - \frac{1}{x} + c

(b)

4x^2 + 12x - 6\log x - \frac{2}{x} + c

(c)

2x^2 + 8x + 3\log x - \frac{2}{x} + c

(d)

8x^2 + 6x + 6\log x + \frac{2}{x} + c