Integral of pi/x^10 dx

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

   $$\int \frac{\pi}{x^{10}}\, dx = \pi \int \frac{1}{x^{10}}\, dx$$

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

      But the integral is

      $$- \frac{1}{9 x^{9}}$$

   So, the result is: $- \frac{\pi}{9 x^{9}}$

2. Add the constant of integration:

   $$- \frac{\pi}{9 x^{9}}+ \mathrm{constant}$$

The answer is:

$$- \frac{\pi}{9 x^{9}}+ \mathrm{constant}$$