- #1

songoku

- 2,302

- 325

- Homework Statement
- Please see below

- Relevant Equations
- Integration

Using integration by parts:

$$I_n=\left. x(1+x^2)^{-n} \right|_0^1+\int_0^{1} 2nx^2(1+x^2)^{-(n+1)}dx$$

$$I_n=2^{-n} + 2n \int_0^{1} x^2(1+x^2)^{-(n+1)}dx$$

Then how to continue?

Thanks