Reduction Formula for Cosine Powers
Define:
$$I_n=\int\cos^n x\,dx$$
Then:
$$I_n=\frac{\sin x\cos^{n-1}x}{n}+\frac{n-1}{n}I_{n-2}$$
Usage
- Used to reduce an integral involving a high power of cosine.
Sign in
Please select an account to continue using cracku.in
↓ →
CAT Formulas
Indefinite Integration
Reduction Formula for Cosine Powers
Reduction Formula for Cosine Powers
Define:
$$I_n=\int\cos^n x\,dx$$
Then:
$$I_n=\frac{\sin x\cos^{n-1}x}{n}+\frac{n-1}{n}I_{n-2}$$
Usage
- Used to reduce an integral involving a high power of cosine.
Start your IIM journey with the right preparation and crack CAT 2026.
Educational materials for CAT preparation