x-n-x-n-2-r-0-2n-C-r-2n-x-r-dx-The-result-is-a-little-pretty-

Question Number 94432 by Tony Lin last updated on 18/May/20

\int \frac{x^{n} - x^{n - 2}}{\underset{r = 0}{\sum^{2 n}} C_{r}^{2 n} x^{r}} d x = ?

T h e r e s u l t i s a l i t t l e p r e t t y

Commented by PRITHWISH SEN 2 last updated on 18/May/20

\int \frac{x^{n} - x^{n - 2}}{{(1 + x)}^{2 n}} dx = \int \frac{(1 - \frac{1}{x^{2}})}{{(\frac{1}{x} + x + 2)}^{n}} dx put x + \frac{1}{x} + 2 = t

Commented by Tony Lin last updated on 19/May/20

t h a n k s s i r

Commented by PRITHWISH SEN 2 last updated on 19/May/20

welcome sir