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.
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CAT Formulas
Indefinite Integration
Reduction Formula for Secant Powers
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.
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