Integral of 2/x³ dx

1. The integral of a constant times a function is the constant times the integral of the function:

   $$\int \frac{2}{x^{3}}\, dx = 2 \int \frac{1}{x^{3}}\, dx$$

   1. Don't know the steps in finding this integral.

      But the integral is

      $$- \frac{1}{2 x^{2}}$$

   So, the result is: $- \frac{1}{x^{2}}$

2. Add the constant of integration:

   $$- \frac{1}{x^{2}}+ \mathrm{constant}$$

The answer is:

$$- \frac{1}{x^{2}}+ \mathrm{constant}$$