- #1

- 697

- 73

## Homework Statement

If ## I_n = \int_0^\frac {\pi}{4} \sec^n x dx## then find ## I_{10} - \frac {8}{9} I_8##

**2. The attempt at a solution**

this should be solvable by reduction formulae but since it'd be longer I wanted to know if there was a way to do it using mostly properties of indefinite integrals as suggested by my textbook. I'd appreciate the help, thank you