Reduction Formula for Secant Powers

Rarely Tested

Reduction Formula for Secant Powers

Define:

$$I_n=\int\sec^n x\,dx$$

Then:

$$I_n=\frac{\sec^{n-2}x\tan x}{n-1}+\frac{n-2}{n-1}I_{n-2}$$

Usage

- Used to reduce higher powers of secant.

---

No related questions available for this formula yet.

Go back to topics

Join CAT 2026 course by 5-Time CAT 100%iler

Start your IIM journey with the right preparation and crack CAT 2026.