91- 6303239042
Reduction Formula for Inverse Tangent Powers
Define:
$$I_n=\int(\tan^{-1}x)^n\,dx$$
Integration by parts gives:
$$I_n=x(\tan^{-1}x)^n-n\int\frac{x(\tan^{-1}x)^{n-1}}{1+x^2}\,dx$$
Usage
- Used to reduce integrals involving powers of inverse tangent.
Sign in
Please select an account to continue using cracku.in
↓ →
Reduction Formula for Inverse Tangent Powers
Define:
$$I_n=\int(\tan^{-1}x)^n\,dx$$
Integration by parts gives:
$$I_n=x(\tan^{-1}x)^n-n\int\frac{x(\tan^{-1}x)^{n-1}}{1+x^2}\,dx$$
Usage
- Used to reduce integrals involving powers of inverse tangent.
Start your IIM journey with the right preparation and crack CAT 2026.
Educational materials for CAT preparation
