Wallis Integral

Rarely Tested

Wallis Integral

Define:

$$I_n=\int_0^{\frac{\pi}{2}}\sin^n x\,dx$$

Then:

$$I_n=\int_0^{\frac{\pi}{2}}\cos^n x\,dx$$

Usage

- Used for definite integrals involving integer powers of sine or cosine.

---

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.